Highest Common Factor of 952, 533, 984 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 952, 533, 984 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 952, 533, 984 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 952, 533, 984 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 952, 533, 984 is 1.

HCF(952, 533, 984) = 1

HCF of 952, 533, 984 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 952, 533, 984 is 1.

Highest Common Factor of 952,533,984 using Euclid's algorithm

Highest Common Factor of 952,533,984 is 1

Step 1: Since 952 > 533, we apply the division lemma to 952 and 533, to get

952 = 533 x 1 + 419

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 419 and 533, to get

533 = 419 x 1 + 114

Step 3: We consider the new divisor 419 and the new remainder 114, and apply the division lemma to get

419 = 114 x 3 + 77

We consider the new divisor 114 and the new remainder 77,and apply the division lemma to get

114 = 77 x 1 + 37

We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get

77 = 37 x 2 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 952 and 533 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(114,77) = HCF(419,114) = HCF(533,419) = HCF(952,533) .

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

Step 1: Since 984 > 1, we apply the division lemma to 984 and 1, to get

984 = 1 x 984 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 984 is 1

Notice that 1 = HCF(984,1) .

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Frequently Asked Questions on HCF of 952, 533, 984 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 952, 533, 984?

Answer: HCF of 952, 533, 984 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 952, 533, 984 using Euclid's Algorithm?

Answer: For arbitrary numbers 952, 533, 984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.