Highest Common Factor of 5700, 5116 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 5700, 5116 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5700, 5116 is 4 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 5700, 5116 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 5700, 5116 is 4.
HCF(5700, 5116) = 4
HCF of 5700, 5116 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5700, 5116 is 4.
Highest Common Factor of 5700,5116 is 4
Step 1: Since 5700 > 5116, we apply the division lemma to 5700 and 5116, to get
5700 = 5116 x 1 + 584
Step 2: Since the reminder 5116 ≠ 0, we apply division lemma to 584 and 5116, to get
5116 = 584 x 8 + 444
Step 3: We consider the new divisor 584 and the new remainder 444, and apply the division lemma to get
584 = 444 x 1 + 140
We consider the new divisor 444 and the new remainder 140,and apply the division lemma to get
444 = 140 x 3 + 24
We consider the new divisor 140 and the new remainder 24,and apply the division lemma to get
140 = 24 x 5 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5700 and 5116 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(140,24) = HCF(444,140) = HCF(584,444) = HCF(5116,584) = HCF(5700,5116) .
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Frequently Asked Questions on HCF of 5700, 5116 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 5700, 5116?
Answer: HCF of 5700, 5116 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5700, 5116 using Euclid's Algorithm?
Answer: For arbitrary numbers 5700, 5116 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.