Highest Common Factor of 508, 647, 60, 545 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 508, 647, 60, 545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 508, 647, 60, 545 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 508, 647, 60, 545 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 508, 647, 60, 545 is 1.
HCF(508, 647, 60, 545) = 1
HCF of 508, 647, 60, 545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 508, 647, 60, 545 is 1.
Highest Common Factor of 508,647,60,545 is 1
Step 1: Since 647 > 508, we apply the division lemma to 647 and 508, to get
647 = 508 x 1 + 139
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 139 and 508, to get
508 = 139 x 3 + 91
Step 3: We consider the new divisor 139 and the new remainder 91, and apply the division lemma to get
139 = 91 x 1 + 48
We consider the new divisor 91 and the new remainder 48,and apply the division lemma to get
91 = 48 x 1 + 43
We consider the new divisor 48 and the new remainder 43,and apply the division lemma to get
48 = 43 x 1 + 5
We consider the new divisor 43 and the new remainder 5,and apply the division lemma to get
43 = 5 x 8 + 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 508 and 647 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(48,43) = HCF(91,48) = HCF(139,91) = HCF(508,139) = HCF(647,508) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60 > 1, we apply the division lemma to 60 and 1, to get
60 = 1 x 60 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60 is 1
Notice that 1 = HCF(60,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 545 > 1, we apply the division lemma to 545 and 1, to get
545 = 1 x 545 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 545 is 1
Notice that 1 = HCF(545,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 508, 647, 60, 545 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 508, 647, 60, 545?
Answer: HCF of 508, 647, 60, 545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 508, 647, 60, 545 using Euclid's Algorithm?
Answer: For arbitrary numbers 508, 647, 60, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.