Highest Common Factor of 518, 925, 696 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, 925, 696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 925, 696 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 518, 925, 696 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, 925, 696 is 1.
HCF(518, 925, 696) = 1
HCF of 518, 925, 696 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, 925, 696 is 1.
Highest Common Factor of 518,925,696 is 1
Step 1: Since 925 > 518, we apply the division lemma to 925 and 518, to get
925 = 518 x 1 + 407
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 407 and 518, to get
518 = 407 x 1 + 111
Step 3: We consider the new divisor 407 and the new remainder 111, and apply the division lemma to get
407 = 111 x 3 + 74
We consider the new divisor 111 and the new remainder 74,and apply the division lemma to get
111 = 74 x 1 + 37
We consider the new divisor 74 and the new remainder 37,and apply the division lemma to get
74 = 37 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 518 and 925 is 37
Notice that 37 = HCF(74,37) = HCF(111,74) = HCF(407,111) = HCF(518,407) = HCF(925,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 696 > 37, we apply the division lemma to 696 and 37, to get
696 = 37 x 18 + 30
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 30 and 37, to get
37 = 30 x 1 + 7
Step 3: We consider the new divisor 30 and the new remainder 7, and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 37 and 696 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(696,37) .
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Frequently Asked Questions on HCF of 518, 925, 696 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, 925, 696?
Answer: HCF of 518, 925, 696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 925, 696 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 925, 696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.