Highest Common Factor of 7456, 1369 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 7456, 1369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7456, 1369 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 7456, 1369 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 7456, 1369 is 1.

HCF(7456, 1369) = 1

HCF of 7456, 1369 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7456, 1369 is 1.

Highest Common Factor of 7456,1369 using Euclid's algorithm

Highest Common Factor of 7456,1369 is 1

Step 1: Since 7456 > 1369, we apply the division lemma to 7456 and 1369, to get

7456 = 1369 x 5 + 611

Step 2: Since the reminder 1369 ≠ 0, we apply division lemma to 611 and 1369, to get

1369 = 611 x 2 + 147

Step 3: We consider the new divisor 611 and the new remainder 147, and apply the division lemma to get

611 = 147 x 4 + 23

We consider the new divisor 147 and the new remainder 23,and apply the division lemma to get

147 = 23 x 6 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 7456 and 1369 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(147,23) = HCF(611,147) = HCF(1369,611) = HCF(7456,1369) .

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Frequently Asked Questions on HCF of 7456, 1369 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 7456, 1369?

Answer: HCF of 7456, 1369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7456, 1369 using Euclid's Algorithm?

Answer: For arbitrary numbers 7456, 1369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.