Highest Common Factor of 5208, 2726 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 5208, 2726 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5208, 2726 is 2 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 5208, 2726 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 5208, 2726 is 2.
HCF(5208, 2726) = 2
HCF of 5208, 2726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5208, 2726 is 2.
Highest Common Factor of 5208,2726 is 2
Step 1: Since 5208 > 2726, we apply the division lemma to 5208 and 2726, to get
5208 = 2726 x 1 + 2482
Step 2: Since the reminder 2726 ≠ 0, we apply division lemma to 2482 and 2726, to get
2726 = 2482 x 1 + 244
Step 3: We consider the new divisor 2482 and the new remainder 244, and apply the division lemma to get
2482 = 244 x 10 + 42
We consider the new divisor 244 and the new remainder 42,and apply the division lemma to get
244 = 42 x 5 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5208 and 2726 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(244,42) = HCF(2482,244) = HCF(2726,2482) = HCF(5208,2726) .
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Frequently Asked Questions on HCF of 5208, 2726 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 5208, 2726?
Answer: HCF of 5208, 2726 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5208, 2726 using Euclid's Algorithm?
Answer: For arbitrary numbers 5208, 2726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.