Highest Common Factor of 6931, 3850 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, 3850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6931, 3850 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, 3850 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, 3850 is 1.
HCF(6931, 3850) = 1
HCF of 6931, 3850 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, 3850 is 1.
Highest Common Factor of 6931,3850 is 1
Step 1: Since 6931 > 3850, we apply the division lemma to 6931 and 3850, to get
6931 = 3850 x 1 + 3081
Step 2: Since the reminder 3850 ≠ 0, we apply division lemma to 3081 and 3850, to get
3850 = 3081 x 1 + 769
Step 3: We consider the new divisor 3081 and the new remainder 769, and apply the division lemma to get
3081 = 769 x 4 + 5
We consider the new divisor 769 and the new remainder 5,and apply the division lemma to get
769 = 5 x 153 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6931 and 3850 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(769,5) = HCF(3081,769) = HCF(3850,3081) = HCF(6931,3850) .
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Frequently Asked Questions on HCF of 6931, 3850 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, 3850?
Answer: HCF of 6931, 3850 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6931, 3850 using Euclid's Algorithm?
Answer: For arbitrary numbers 6931, 3850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.