Highest Common Factor of 5276, 8972 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 5276, 8972 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5276, 8972 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 5276, 8972 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 5276, 8972 is 4.
HCF(5276, 8972) = 4
HCF of 5276, 8972 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5276, 8972 is 4.
Highest Common Factor of 5276,8972 is 4
Step 1: Since 8972 > 5276, we apply the division lemma to 8972 and 5276, to get
8972 = 5276 x 1 + 3696
Step 2: Since the reminder 5276 ≠ 0, we apply division lemma to 3696 and 5276, to get
5276 = 3696 x 1 + 1580
Step 3: We consider the new divisor 3696 and the new remainder 1580, and apply the division lemma to get
3696 = 1580 x 2 + 536
We consider the new divisor 1580 and the new remainder 536,and apply the division lemma to get
1580 = 536 x 2 + 508
We consider the new divisor 536 and the new remainder 508,and apply the division lemma to get
536 = 508 x 1 + 28
We consider the new divisor 508 and the new remainder 28,and apply the division lemma to get
508 = 28 x 18 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5276 and 8972 is 4
Notice that 4 = HCF(28,4) = HCF(508,28) = HCF(536,508) = HCF(1580,536) = HCF(3696,1580) = HCF(5276,3696) = HCF(8972,5276) .
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Frequently Asked Questions on HCF of 5276, 8972 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 5276, 8972?
Answer: HCF of 5276, 8972 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5276, 8972 using Euclid's Algorithm?
Answer: For arbitrary numbers 5276, 8972 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.