Highest Common Factor of 502, 779 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 502, 779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 502, 779 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 502, 779 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 502, 779 is 1.
HCF(502, 779) = 1
HCF of 502, 779 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 502, 779 is 1.
Highest Common Factor of 502,779 is 1
Step 1: Since 779 > 502, we apply the division lemma to 779 and 502, to get
779 = 502 x 1 + 277
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 277 and 502, to get
502 = 277 x 1 + 225
Step 3: We consider the new divisor 277 and the new remainder 225, and apply the division lemma to get
277 = 225 x 1 + 52
We consider the new divisor 225 and the new remainder 52,and apply the division lemma to get
225 = 52 x 4 + 17
We consider the new divisor 52 and the new remainder 17,and apply the division lemma to get
52 = 17 x 3 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 502 and 779 is 1
Notice that 1 = HCF(17,1) = HCF(52,17) = HCF(225,52) = HCF(277,225) = HCF(502,277) = HCF(779,502) .
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Frequently Asked Questions on HCF of 502, 779 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 502, 779?
Answer: HCF of 502, 779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 502, 779 using Euclid's Algorithm?
Answer: For arbitrary numbers 502, 779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.