Highest Common Factor of 268, 5236, 2240 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 268, 5236, 2240 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 268, 5236, 2240 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 268, 5236, 2240 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 268, 5236, 2240 is 4.
HCF(268, 5236, 2240) = 4
HCF of 268, 5236, 2240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 268, 5236, 2240 is 4.
Highest Common Factor of 268,5236,2240 is 4
Step 1: Since 5236 > 268, we apply the division lemma to 5236 and 268, to get
5236 = 268 x 19 + 144
Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 144 and 268, to get
268 = 144 x 1 + 124
Step 3: We consider the new divisor 144 and the new remainder 124, and apply the division lemma to get
144 = 124 x 1 + 20
We consider the new divisor 124 and the new remainder 20,and apply the division lemma to get
124 = 20 x 6 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 268 and 5236 is 4
Notice that 4 = HCF(20,4) = HCF(124,20) = HCF(144,124) = HCF(268,144) = HCF(5236,268) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2240 > 4, we apply the division lemma to 2240 and 4, to get
2240 = 4 x 560 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 2240 is 4
Notice that 4 = HCF(2240,4) .
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Frequently Asked Questions on HCF of 268, 5236, 2240 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 268, 5236, 2240?
Answer: HCF of 268, 5236, 2240 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 268, 5236, 2240 using Euclid's Algorithm?
Answer: For arbitrary numbers 268, 5236, 2240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.