Highest Common Factor of 976, 621, 898 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 976, 621, 898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 976, 621, 898 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 976, 621, 898 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 976, 621, 898 is 1.

HCF(976, 621, 898) = 1

HCF of 976, 621, 898 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 976, 621, 898 is 1.

Highest Common Factor of 976,621,898 using Euclid's algorithm

Highest Common Factor of 976,621,898 is 1

Step 1: Since 976 > 621, we apply the division lemma to 976 and 621, to get

976 = 621 x 1 + 355

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 355 and 621, to get

621 = 355 x 1 + 266

Step 3: We consider the new divisor 355 and the new remainder 266, and apply the division lemma to get

355 = 266 x 1 + 89

We consider the new divisor 266 and the new remainder 89,and apply the division lemma to get

266 = 89 x 2 + 88

We consider the new divisor 89 and the new remainder 88,and apply the division lemma to get

89 = 88 x 1 + 1

We consider the new divisor 88 and the new remainder 1,and apply the division lemma to get

88 = 1 x 88 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 621 is 1

Notice that 1 = HCF(88,1) = HCF(89,88) = HCF(266,89) = HCF(355,266) = HCF(621,355) = HCF(976,621) .

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

Step 1: Since 898 > 1, we apply the division lemma to 898 and 1, to get

898 = 1 x 898 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 898 is 1

Notice that 1 = HCF(898,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 976, 621, 898 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 976, 621, 898?

Answer: HCF of 976, 621, 898 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 976, 621, 898 using Euclid's Algorithm?

Answer: For arbitrary numbers 976, 621, 898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.