Highest Common Factor of 777, 956, 998 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 777, 956, 998 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 777, 956, 998 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 777, 956, 998 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 777, 956, 998 is 1.

HCF(777, 956, 998) = 1

HCF of 777, 956, 998 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 777, 956, 998 is 1.

Highest Common Factor of 777,956,998 using Euclid's algorithm

Highest Common Factor of 777,956,998 is 1

Step 1: Since 956 > 777, we apply the division lemma to 956 and 777, to get

956 = 777 x 1 + 179

Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 179 and 777, to get

777 = 179 x 4 + 61

Step 3: We consider the new divisor 179 and the new remainder 61, and apply the division lemma to get

179 = 61 x 2 + 57

We consider the new divisor 61 and the new remainder 57,and apply the division lemma to get

61 = 57 x 1 + 4

We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get

57 = 4 x 14 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 777 and 956 is 1

Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(61,57) = HCF(179,61) = HCF(777,179) = HCF(956,777) .

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

Step 1: Since 998 > 1, we apply the division lemma to 998 and 1, to get

998 = 1 x 998 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 998 is 1

Notice that 1 = HCF(998,1) .

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Frequently Asked Questions on HCF of 777, 956, 998 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 777, 956, 998?

Answer: HCF of 777, 956, 998 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 777, 956, 998 using Euclid's Algorithm?

Answer: For arbitrary numbers 777, 956, 998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.