Highest Common Factor of 2920, 5244 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 2920, 5244 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2920, 5244 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 2920, 5244 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 2920, 5244 is 4.
HCF(2920, 5244) = 4
HCF of 2920, 5244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2920, 5244 is 4.
Highest Common Factor of 2920,5244 is 4
Step 1: Since 5244 > 2920, we apply the division lemma to 5244 and 2920, to get
5244 = 2920 x 1 + 2324
Step 2: Since the reminder 2920 ≠ 0, we apply division lemma to 2324 and 2920, to get
2920 = 2324 x 1 + 596
Step 3: We consider the new divisor 2324 and the new remainder 596, and apply the division lemma to get
2324 = 596 x 3 + 536
We consider the new divisor 596 and the new remainder 536,and apply the division lemma to get
596 = 536 x 1 + 60
We consider the new divisor 536 and the new remainder 60,and apply the division lemma to get
536 = 60 x 8 + 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 2920 and 5244 is 4
Notice that 4 = HCF(56,4) = HCF(60,56) = HCF(536,60) = HCF(596,536) = HCF(2324,596) = HCF(2920,2324) = HCF(5244,2920) .
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Frequently Asked Questions on HCF of 2920, 5244 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 2920, 5244?
Answer: HCF of 2920, 5244 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2920, 5244 using Euclid's Algorithm?
Answer: For arbitrary numbers 2920, 5244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.