Highest Common Factor of 446, 727, 611, 508 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 446, 727, 611, 508 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 446, 727, 611, 508 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 446, 727, 611, 508 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 446, 727, 611, 508 is 1.
HCF(446, 727, 611, 508) = 1
HCF of 446, 727, 611, 508 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 446, 727, 611, 508 is 1.
Highest Common Factor of 446,727,611,508 is 1
Step 1: Since 727 > 446, we apply the division lemma to 727 and 446, to get
727 = 446 x 1 + 281
Step 2: Since the reminder 446 ≠ 0, we apply division lemma to 281 and 446, to get
446 = 281 x 1 + 165
Step 3: We consider the new divisor 281 and the new remainder 165, and apply the division lemma to get
281 = 165 x 1 + 116
We consider the new divisor 165 and the new remainder 116,and apply the division lemma to get
165 = 116 x 1 + 49
We consider the new divisor 116 and the new remainder 49,and apply the division lemma to get
116 = 49 x 2 + 18
We consider the new divisor 49 and the new remainder 18,and apply the division lemma to get
49 = 18 x 2 + 13
We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get
18 = 13 x 1 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 446 and 727 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(49,18) = HCF(116,49) = HCF(165,116) = HCF(281,165) = HCF(446,281) = HCF(727,446) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 611 > 1, we apply the division lemma to 611 and 1, to get
611 = 1 x 611 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 611 is 1
Notice that 1 = HCF(611,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 508 > 1, we apply the division lemma to 508 and 1, to get
508 = 1 x 508 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 508 is 1
Notice that 1 = HCF(508,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 446, 727, 611, 508 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 446, 727, 611, 508?
Answer: HCF of 446, 727, 611, 508 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 446, 727, 611, 508 using Euclid's Algorithm?
Answer: For arbitrary numbers 446, 727, 611, 508 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.