Highest Common Factor of 518, 707 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 518, 707 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 707 is 7 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 518, 707 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 518, 707 is 7.
HCF(518, 707) = 7
HCF of 518, 707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 707 is 7.
Highest Common Factor of 518,707 is 7
Step 1: Since 707 > 518, we apply the division lemma to 707 and 518, to get
707 = 518 x 1 + 189
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 189 and 518, to get
518 = 189 x 2 + 140
Step 3: We consider the new divisor 189 and the new remainder 140, and apply the division lemma to get
189 = 140 x 1 + 49
We consider the new divisor 140 and the new remainder 49,and apply the division lemma to get
140 = 49 x 2 + 42
We consider the new divisor 49 and the new remainder 42,and apply the division lemma to get
49 = 42 x 1 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 518 and 707 is 7
Notice that 7 = HCF(42,7) = HCF(49,42) = HCF(140,49) = HCF(189,140) = HCF(518,189) = HCF(707,518) .
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Frequently Asked Questions on HCF of 518, 707 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 518, 707?
Answer: HCF of 518, 707 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 707 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.