Highest Common Factor of 268, 871, 537, 58 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, 871, 537, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 268, 871, 537, 58 is 1 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, 871, 537, 58 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, 871, 537, 58 is 1.
HCF(268, 871, 537, 58) = 1
HCF of 268, 871, 537, 58 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, 871, 537, 58 is 1.
Highest Common Factor of 268,871,537,58 is 1
Step 1: Since 871 > 268, we apply the division lemma to 871 and 268, to get
871 = 268 x 3 + 67
Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 67 and 268, to get
268 = 67 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 268 and 871 is 67
Notice that 67 = HCF(268,67) = HCF(871,268) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 537 > 67, we apply the division lemma to 537 and 67, to get
537 = 67 x 8 + 1
Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 1 and 67, to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 67 and 537 is 1
Notice that 1 = HCF(67,1) = HCF(537,67) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
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Frequently Asked Questions on HCF of 268, 871, 537, 58 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, 871, 537, 58?
Answer: HCF of 268, 871, 537, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 268, 871, 537, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 268, 871, 537, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.