Highest Common Factor of 4931, 6942 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 4931, 6942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4931, 6942 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 4931, 6942 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 4931, 6942 is 1.
HCF(4931, 6942) = 1
HCF of 4931, 6942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4931, 6942 is 1.
Highest Common Factor of 4931,6942 is 1
Step 1: Since 6942 > 4931, we apply the division lemma to 6942 and 4931, to get
6942 = 4931 x 1 + 2011
Step 2: Since the reminder 4931 ≠ 0, we apply division lemma to 2011 and 4931, to get
4931 = 2011 x 2 + 909
Step 3: We consider the new divisor 2011 and the new remainder 909, and apply the division lemma to get
2011 = 909 x 2 + 193
We consider the new divisor 909 and the new remainder 193,and apply the division lemma to get
909 = 193 x 4 + 137
We consider the new divisor 193 and the new remainder 137,and apply the division lemma to get
193 = 137 x 1 + 56
We consider the new divisor 137 and the new remainder 56,and apply the division lemma to get
137 = 56 x 2 + 25
We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get
56 = 25 x 2 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4931 and 6942 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(137,56) = HCF(193,137) = HCF(909,193) = HCF(2011,909) = HCF(4931,2011) = HCF(6942,4931) .
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Frequently Asked Questions on HCF of 4931, 6942 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 4931, 6942?
Answer: HCF of 4931, 6942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4931, 6942 using Euclid's Algorithm?
Answer: For arbitrary numbers 4931, 6942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
