Highest Common Factor of 871, 568, 65, 137 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 871, 568, 65, 137 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 568, 65, 137 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 871, 568, 65, 137 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 871, 568, 65, 137 is 1.

HCF(871, 568, 65, 137) = 1

HCF of 871, 568, 65, 137 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 871, 568, 65, 137 is 1.

Highest Common Factor of 871,568,65,137 using Euclid's algorithm

Highest Common Factor of 871,568,65,137 is 1

Step 1: Since 871 > 568, we apply the division lemma to 871 and 568, to get

871 = 568 x 1 + 303

Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 303 and 568, to get

568 = 303 x 1 + 265

Step 3: We consider the new divisor 303 and the new remainder 265, and apply the division lemma to get

303 = 265 x 1 + 38

We consider the new divisor 265 and the new remainder 38,and apply the division lemma to get

265 = 38 x 6 + 37

We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get

38 = 37 x 1 + 1

We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get

37 = 1 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 568 is 1

Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(265,38) = HCF(303,265) = HCF(568,303) = HCF(871,568) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 65 > 1, we apply the division lemma to 65 and 1, to get

65 = 1 x 65 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65 is 1

Notice that 1 = HCF(65,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 137 > 1, we apply the division lemma to 137 and 1, to get

137 = 1 x 137 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 137 is 1

Notice that 1 = HCF(137,1) .

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Frequently Asked Questions on HCF of 871, 568, 65, 137 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 871, 568, 65, 137?

Answer: HCF of 871, 568, 65, 137 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 568, 65, 137 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 568, 65, 137 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.