Highest Common Factor of 5492, 6990, 51374 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 5492, 6990, 51374 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 5492, 6990, 51374 is 2 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 5492, 6990, 51374 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 5492, 6990, 51374 is 2.

HCF(5492, 6990, 51374) = 2

HCF of 5492, 6990, 51374 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 5492, 6990, 51374 is 2.

Highest Common Factor of 5492,6990,51374 using Euclid's algorithm

Highest Common Factor of 5492,6990,51374 is 2

Step 1: Since 6990 > 5492, we apply the division lemma to 6990 and 5492, to get

6990 = 5492 x 1 + 1498

Step 2: Since the reminder 5492 ≠ 0, we apply division lemma to 1498 and 5492, to get

5492 = 1498 x 3 + 998

Step 3: We consider the new divisor 1498 and the new remainder 998, and apply the division lemma to get

1498 = 998 x 1 + 500

We consider the new divisor 998 and the new remainder 500,and apply the division lemma to get

998 = 500 x 1 + 498

We consider the new divisor 500 and the new remainder 498,and apply the division lemma to get

500 = 498 x 1 + 2

We consider the new divisor 498 and the new remainder 2,and apply the division lemma to get

498 = 2 x 249 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5492 and 6990 is 2

Notice that 2 = HCF(498,2) = HCF(500,498) = HCF(998,500) = HCF(1498,998) = HCF(5492,1498) = HCF(6990,5492) .

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

Step 1: Since 51374 > 2, we apply the division lemma to 51374 and 2, to get

51374 = 2 x 25687 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 51374 is 2

Notice that 2 = HCF(51374,2) .

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Frequently Asked Questions on HCF of 5492, 6990, 51374 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 5492, 6990, 51374?

Answer: HCF of 5492, 6990, 51374 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5492, 6990, 51374 using Euclid's Algorithm?

Answer: For arbitrary numbers 5492, 6990, 51374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.