Highest Common Factor of 7916, 9351 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 7916, 9351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7916, 9351 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 7916, 9351 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 7916, 9351 is 1.
HCF(7916, 9351) = 1
HCF of 7916, 9351 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7916, 9351 is 1.
Highest Common Factor of 7916,9351 is 1
Step 1: Since 9351 > 7916, we apply the division lemma to 9351 and 7916, to get
9351 = 7916 x 1 + 1435
Step 2: Since the reminder 7916 ≠ 0, we apply division lemma to 1435 and 7916, to get
7916 = 1435 x 5 + 741
Step 3: We consider the new divisor 1435 and the new remainder 741, and apply the division lemma to get
1435 = 741 x 1 + 694
We consider the new divisor 741 and the new remainder 694,and apply the division lemma to get
741 = 694 x 1 + 47
We consider the new divisor 694 and the new remainder 47,and apply the division lemma to get
694 = 47 x 14 + 36
We consider the new divisor 47 and the new remainder 36,and apply the division lemma to get
47 = 36 x 1 + 11
We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get
36 = 11 x 3 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 7916 and 9351 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(47,36) = HCF(694,47) = HCF(741,694) = HCF(1435,741) = HCF(7916,1435) = HCF(9351,7916) .
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Frequently Asked Questions on HCF of 7916, 9351 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 7916, 9351?
Answer: HCF of 7916, 9351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7916, 9351 using Euclid's Algorithm?
Answer: For arbitrary numbers 7916, 9351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
