Highest Common Factor of 6931, 4905 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 6931, 4905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6931, 4905 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 6931, 4905 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 6931, 4905 is 1.
HCF(6931, 4905) = 1
HCF of 6931, 4905 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6931, 4905 is 1.
Highest Common Factor of 6931,4905 is 1
Step 1: Since 6931 > 4905, we apply the division lemma to 6931 and 4905, to get
6931 = 4905 x 1 + 2026
Step 2: Since the reminder 4905 ≠ 0, we apply division lemma to 2026 and 4905, to get
4905 = 2026 x 2 + 853
Step 3: We consider the new divisor 2026 and the new remainder 853, and apply the division lemma to get
2026 = 853 x 2 + 320
We consider the new divisor 853 and the new remainder 320,and apply the division lemma to get
853 = 320 x 2 + 213
We consider the new divisor 320 and the new remainder 213,and apply the division lemma to get
320 = 213 x 1 + 107
We consider the new divisor 213 and the new remainder 107,and apply the division lemma to get
213 = 107 x 1 + 106
We consider the new divisor 107 and the new remainder 106,and apply the division lemma to get
107 = 106 x 1 + 1
We consider the new divisor 106 and the new remainder 1,and apply the division lemma to get
106 = 1 x 106 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6931 and 4905 is 1
Notice that 1 = HCF(106,1) = HCF(107,106) = HCF(213,107) = HCF(320,213) = HCF(853,320) = HCF(2026,853) = HCF(4905,2026) = HCF(6931,4905) .
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Frequently Asked Questions on HCF of 6931, 4905 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 6931, 4905?
Answer: HCF of 6931, 4905 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6931, 4905 using Euclid's Algorithm?
Answer: For arbitrary numbers 6931, 4905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
