Highest Common Factor of 925, 71093 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, 71093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 71093 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, 71093 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, 71093 is 1.
HCF(925, 71093) = 1
HCF of 925, 71093 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, 71093 is 1.
Highest Common Factor of 925,71093 is 1
Step 1: Since 71093 > 925, we apply the division lemma to 71093 and 925, to get
71093 = 925 x 76 + 793
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 793 and 925, to get
925 = 793 x 1 + 132
Step 3: We consider the new divisor 793 and the new remainder 132, and apply the division lemma to get
793 = 132 x 6 + 1
We consider the new divisor 132 and the new remainder 1, and apply the division lemma to get
132 = 1 x 132 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 71093 is 1
Notice that 1 = HCF(132,1) = HCF(793,132) = HCF(925,793) = HCF(71093,925) .
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Frequently Asked Questions on HCF of 925, 71093 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, 71093?
Answer: HCF of 925, 71093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 71093 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 71093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.