Highest Common Factor of 625, 878, 992 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 625, 878, 992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 878, 992 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 625, 878, 992 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 625, 878, 992 is 1.

HCF(625, 878, 992) = 1

HCF of 625, 878, 992 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 625, 878, 992 is 1.

Highest Common Factor of 625,878,992 using Euclid's algorithm

Highest Common Factor of 625,878,992 is 1

Step 1: Since 878 > 625, we apply the division lemma to 878 and 625, to get

878 = 625 x 1 + 253

Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 253 and 625, to get

625 = 253 x 2 + 119

Step 3: We consider the new divisor 253 and the new remainder 119, and apply the division lemma to get

253 = 119 x 2 + 15

We consider the new divisor 119 and the new remainder 15,and apply the division lemma to get

119 = 15 x 7 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 625 and 878 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(119,15) = HCF(253,119) = HCF(625,253) = HCF(878,625) .

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

Step 1: Since 992 > 1, we apply the division lemma to 992 and 1, to get

992 = 1 x 992 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 992 is 1

Notice that 1 = HCF(992,1) .

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Frequently Asked Questions on HCF of 625, 878, 992 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 625, 878, 992?

Answer: HCF of 625, 878, 992 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 878, 992 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 878, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.