Highest Common Factor of 972, 437, 949 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 972, 437, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 972, 437, 949 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 972, 437, 949 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 972, 437, 949 is 1.

HCF(972, 437, 949) = 1

HCF of 972, 437, 949 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 972, 437, 949 is 1.

Highest Common Factor of 972,437,949 using Euclid's algorithm

Highest Common Factor of 972,437,949 is 1

Step 1: Since 972 > 437, we apply the division lemma to 972 and 437, to get

972 = 437 x 2 + 98

Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 98 and 437, to get

437 = 98 x 4 + 45

Step 3: We consider the new divisor 98 and the new remainder 45, and apply the division lemma to get

98 = 45 x 2 + 8

We consider the new divisor 45 and the new remainder 8,and apply the division lemma to get

45 = 8 x 5 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 972 and 437 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(45,8) = HCF(98,45) = HCF(437,98) = HCF(972,437) .

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

Step 1: Since 949 > 1, we apply the division lemma to 949 and 1, to get

949 = 1 x 949 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 949 is 1

Notice that 1 = HCF(949,1) .

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Frequently Asked Questions on HCF of 972, 437, 949 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 972, 437, 949?

Answer: HCF of 972, 437, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 972, 437, 949 using Euclid's Algorithm?

Answer: For arbitrary numbers 972, 437, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.