Highest Common Factor of 7916, 5857 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, 5857 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7916, 5857 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, 5857 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, 5857 is 1.
HCF(7916, 5857) = 1
HCF of 7916, 5857 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, 5857 is 1.
Highest Common Factor of 7916,5857 is 1
Step 1: Since 7916 > 5857, we apply the division lemma to 7916 and 5857, to get
7916 = 5857 x 1 + 2059
Step 2: Since the reminder 5857 ≠ 0, we apply division lemma to 2059 and 5857, to get
5857 = 2059 x 2 + 1739
Step 3: We consider the new divisor 2059 and the new remainder 1739, and apply the division lemma to get
2059 = 1739 x 1 + 320
We consider the new divisor 1739 and the new remainder 320,and apply the division lemma to get
1739 = 320 x 5 + 139
We consider the new divisor 320 and the new remainder 139,and apply the division lemma to get
320 = 139 x 2 + 42
We consider the new divisor 139 and the new remainder 42,and apply the division lemma to get
139 = 42 x 3 + 13
We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get
42 = 13 x 3 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7916 and 5857 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(139,42) = HCF(320,139) = HCF(1739,320) = HCF(2059,1739) = HCF(5857,2059) = HCF(7916,5857) .
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Frequently Asked Questions on HCF of 7916, 5857 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, 5857?
Answer: HCF of 7916, 5857 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7916, 5857 using Euclid's Algorithm?
Answer: For arbitrary numbers 7916, 5857 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.