Highest Common Factor of 925, 686 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 925, 686 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 686 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 925, 686 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 925, 686 is 1.
HCF(925, 686) = 1
HCF of 925, 686 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 686 is 1.
Highest Common Factor of 925,686 is 1
Step 1: Since 925 > 686, we apply the division lemma to 925 and 686, to get
925 = 686 x 1 + 239
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 239 and 686, to get
686 = 239 x 2 + 208
Step 3: We consider the new divisor 239 and the new remainder 208, and apply the division lemma to get
239 = 208 x 1 + 31
We consider the new divisor 208 and the new remainder 31,and apply the division lemma to get
208 = 31 x 6 + 22
We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get
31 = 22 x 1 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 686 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(208,31) = HCF(239,208) = HCF(686,239) = HCF(925,686) .
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Frequently Asked Questions on HCF of 925, 686 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 925, 686?
Answer: HCF of 925, 686 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 686 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 686 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.