Highest Common Factor of 655, 93791 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 655, 93791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 655, 93791 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 655, 93791 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 655, 93791 is 1.
HCF(655, 93791) = 1
HCF of 655, 93791 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 655, 93791 is 1.
Highest Common Factor of 655,93791 is 1
Step 1: Since 93791 > 655, we apply the division lemma to 93791 and 655, to get
93791 = 655 x 143 + 126
Step 2: Since the reminder 655 ≠ 0, we apply division lemma to 126 and 655, to get
655 = 126 x 5 + 25
Step 3: We consider the new divisor 126 and the new remainder 25, and apply the division lemma to get
126 = 25 x 5 + 1
We consider the new divisor 25 and the new remainder 1, and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 655 and 93791 is 1
Notice that 1 = HCF(25,1) = HCF(126,25) = HCF(655,126) = HCF(93791,655) .
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Frequently Asked Questions on HCF of 655, 93791 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 655, 93791?
Answer: HCF of 655, 93791 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 655, 93791 using Euclid's Algorithm?
Answer: For arbitrary numbers 655, 93791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
