Highest Common Factor of 931, 73147 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 931, 73147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 73147 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 931, 73147 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 931, 73147 is 1.
HCF(931, 73147) = 1
HCF of 931, 73147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 73147 is 1.
Highest Common Factor of 931,73147 is 1
Step 1: Since 73147 > 931, we apply the division lemma to 73147 and 931, to get
73147 = 931 x 78 + 529
Step 2: Since the reminder 931 ≠ 0, we apply division lemma to 529 and 931, to get
931 = 529 x 1 + 402
Step 3: We consider the new divisor 529 and the new remainder 402, and apply the division lemma to get
529 = 402 x 1 + 127
We consider the new divisor 402 and the new remainder 127,and apply the division lemma to get
402 = 127 x 3 + 21
We consider the new divisor 127 and the new remainder 21,and apply the division lemma to get
127 = 21 x 6 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 931 and 73147 is 1
Notice that 1 = HCF(21,1) = HCF(127,21) = HCF(402,127) = HCF(529,402) = HCF(931,529) = HCF(73147,931) .
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Frequently Asked Questions on HCF of 931, 73147 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 931, 73147?
Answer: HCF of 931, 73147 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 73147 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 73147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
