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 441, 316, 608 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 441, 316, 608 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 441, 316, 608 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 441, 316, 608 is 1.
HCF(441, 316, 608) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 441, 316, 608 is 1.
Step 1: Since 441 > 316, we apply the division lemma to 441 and 316, to get
441 = 316 x 1 + 125
Step 2: Since the reminder 316 ≠ 0, we apply division lemma to 125 and 316, to get
316 = 125 x 2 + 66
Step 3: We consider the new divisor 125 and the new remainder 66, and apply the division lemma to get
125 = 66 x 1 + 59
We consider the new divisor 66 and the new remainder 59,and apply the division lemma to get
66 = 59 x 1 + 7
We consider the new divisor 59 and the new remainder 7,and apply the division lemma to get
59 = 7 x 8 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 441 and 316 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(59,7) = HCF(66,59) = HCF(125,66) = HCF(316,125) = HCF(441,316) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 608 > 1, we apply the division lemma to 608 and 1, to get
608 = 1 x 608 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 608 is 1
Notice that 1 = HCF(608,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 441, 316, 608?
Answer: HCF of 441, 316, 608 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 441, 316, 608 using Euclid's Algorithm?
Answer: For arbitrary numbers 441, 316, 608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.