Highest Common Factor of 634, 502 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 634, 502 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 502 is 2 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 634, 502 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 634, 502 is 2.
HCF(634, 502) = 2
HCF of 634, 502 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 502 is 2.
Highest Common Factor of 634,502 is 2
Step 1: Since 634 > 502, we apply the division lemma to 634 and 502, to get
634 = 502 x 1 + 132
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 132 and 502, to get
502 = 132 x 3 + 106
Step 3: We consider the new divisor 132 and the new remainder 106, and apply the division lemma to get
132 = 106 x 1 + 26
We consider the new divisor 106 and the new remainder 26,and apply the division lemma to get
106 = 26 x 4 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 634 and 502 is 2
Notice that 2 = HCF(26,2) = HCF(106,26) = HCF(132,106) = HCF(502,132) = HCF(634,502) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 634, 502 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 634, 502?
Answer: HCF of 634, 502 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 502 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 502 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.