Highest Common Factor of 740, 957, 986 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 740, 957, 986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 740, 957, 986 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 740, 957, 986 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 740, 957, 986 is 1.

HCF(740, 957, 986) = 1

HCF of 740, 957, 986 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 740, 957, 986 is 1.

Highest Common Factor of 740,957,986 using Euclid's algorithm

Highest Common Factor of 740,957,986 is 1

Step 1: Since 957 > 740, we apply the division lemma to 957 and 740, to get

957 = 740 x 1 + 217

Step 2: Since the reminder 740 ≠ 0, we apply division lemma to 217 and 740, to get

740 = 217 x 3 + 89

Step 3: We consider the new divisor 217 and the new remainder 89, and apply the division lemma to get

217 = 89 x 2 + 39

We consider the new divisor 89 and the new remainder 39,and apply the division lemma to get

89 = 39 x 2 + 11

We consider the new divisor 39 and the new remainder 11,and apply the division lemma to get

39 = 11 x 3 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 740 and 957 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(39,11) = HCF(89,39) = HCF(217,89) = HCF(740,217) = HCF(957,740) .

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

Step 1: Since 986 > 1, we apply the division lemma to 986 and 1, to get

986 = 1 x 986 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 986 is 1

Notice that 1 = HCF(986,1) .

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Frequently Asked Questions on HCF of 740, 957, 986 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 740, 957, 986?

Answer: HCF of 740, 957, 986 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 740, 957, 986 using Euclid's Algorithm?

Answer: For arbitrary numbers 740, 957, 986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.