Highest Common Factor of 956, 3722, 7855 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 956, 3722, 7855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 956, 3722, 7855 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 956, 3722, 7855 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 956, 3722, 7855 is 1.
HCF(956, 3722, 7855) = 1
HCF of 956, 3722, 7855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 956, 3722, 7855 is 1.
Highest Common Factor of 956,3722,7855 is 1
Step 1: Since 3722 > 956, we apply the division lemma to 3722 and 956, to get
3722 = 956 x 3 + 854
Step 2: Since the reminder 956 ≠ 0, we apply division lemma to 854 and 956, to get
956 = 854 x 1 + 102
Step 3: We consider the new divisor 854 and the new remainder 102, and apply the division lemma to get
854 = 102 x 8 + 38
We consider the new divisor 102 and the new remainder 38,and apply the division lemma to get
102 = 38 x 2 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 956 and 3722 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(102,38) = HCF(854,102) = HCF(956,854) = HCF(3722,956) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7855 > 2, we apply the division lemma to 7855 and 2, to get
7855 = 2 x 3927 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 7855 is 1
Notice that 1 = HCF(2,1) = HCF(7855,2) .
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Frequently Asked Questions on HCF of 956, 3722, 7855 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 956, 3722, 7855?
Answer: HCF of 956, 3722, 7855 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 956, 3722, 7855 using Euclid's Algorithm?
Answer: For arbitrary numbers 956, 3722, 7855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.