Highest Common Factor of 4948, 2736 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 4948, 2736 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4948, 2736 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 4948, 2736 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 4948, 2736 is 4.
HCF(4948, 2736) = 4
HCF of 4948, 2736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4948, 2736 is 4.
Highest Common Factor of 4948,2736 is 4
Step 1: Since 4948 > 2736, we apply the division lemma to 4948 and 2736, to get
4948 = 2736 x 1 + 2212
Step 2: Since the reminder 2736 ≠ 0, we apply division lemma to 2212 and 2736, to get
2736 = 2212 x 1 + 524
Step 3: We consider the new divisor 2212 and the new remainder 524, and apply the division lemma to get
2212 = 524 x 4 + 116
We consider the new divisor 524 and the new remainder 116,and apply the division lemma to get
524 = 116 x 4 + 60
We consider the new divisor 116 and the new remainder 60,and apply the division lemma to get
116 = 60 x 1 + 56
We consider the new divisor 60 and the new remainder 56,and apply the division lemma to get
60 = 56 x 1 + 4
We consider the new divisor 56 and the new remainder 4,and apply the division lemma to get
56 = 4 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4948 and 2736 is 4
Notice that 4 = HCF(56,4) = HCF(60,56) = HCF(116,60) = HCF(524,116) = HCF(2212,524) = HCF(2736,2212) = HCF(4948,2736) .
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Frequently Asked Questions on HCF of 4948, 2736 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 4948, 2736?
Answer: HCF of 4948, 2736 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4948, 2736 using Euclid's Algorithm?
Answer: For arbitrary numbers 4948, 2736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.