Highest Common Factor of 5112, 6536 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 5112, 6536 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5112, 6536 is 8 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 5112, 6536 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 5112, 6536 is 8.
HCF(5112, 6536) = 8
HCF of 5112, 6536 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5112, 6536 is 8.
Highest Common Factor of 5112,6536 is 8
Step 1: Since 6536 > 5112, we apply the division lemma to 6536 and 5112, to get
6536 = 5112 x 1 + 1424
Step 2: Since the reminder 5112 ≠ 0, we apply division lemma to 1424 and 5112, to get
5112 = 1424 x 3 + 840
Step 3: We consider the new divisor 1424 and the new remainder 840, and apply the division lemma to get
1424 = 840 x 1 + 584
We consider the new divisor 840 and the new remainder 584,and apply the division lemma to get
840 = 584 x 1 + 256
We consider the new divisor 584 and the new remainder 256,and apply the division lemma to get
584 = 256 x 2 + 72
We consider the new divisor 256 and the new remainder 72,and apply the division lemma to get
256 = 72 x 3 + 40
We consider the new divisor 72 and the new remainder 40,and apply the division lemma to get
72 = 40 x 1 + 32
We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get
40 = 32 x 1 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5112 and 6536 is 8
Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(72,40) = HCF(256,72) = HCF(584,256) = HCF(840,584) = HCF(1424,840) = HCF(5112,1424) = HCF(6536,5112) .
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Frequently Asked Questions on HCF of 5112, 6536 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 5112, 6536?
Answer: HCF of 5112, 6536 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5112, 6536 using Euclid's Algorithm?
Answer: For arbitrary numbers 5112, 6536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
