Highest Common Factor of 7754, 6053 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 7754, 6053 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7754, 6053 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 7754, 6053 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 7754, 6053 is 1.

HCF(7754, 6053) = 1

HCF of 7754, 6053 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 7754, 6053 is 1.

Highest Common Factor of 7754,6053 using Euclid's algorithm

Highest Common Factor of 7754,6053 is 1

Step 1: Since 7754 > 6053, we apply the division lemma to 7754 and 6053, to get

7754 = 6053 x 1 + 1701

Step 2: Since the reminder 6053 ≠ 0, we apply division lemma to 1701 and 6053, to get

6053 = 1701 x 3 + 950

Step 3: We consider the new divisor 1701 and the new remainder 950, and apply the division lemma to get

1701 = 950 x 1 + 751

We consider the new divisor 950 and the new remainder 751,and apply the division lemma to get

950 = 751 x 1 + 199

We consider the new divisor 751 and the new remainder 199,and apply the division lemma to get

751 = 199 x 3 + 154

We consider the new divisor 199 and the new remainder 154,and apply the division lemma to get

199 = 154 x 1 + 45

We consider the new divisor 154 and the new remainder 45,and apply the division lemma to get

154 = 45 x 3 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7754 and 6053 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(154,45) = HCF(199,154) = HCF(751,199) = HCF(950,751) = HCF(1701,950) = HCF(6053,1701) = HCF(7754,6053) .

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Frequently Asked Questions on HCF of 7754, 6053 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 7754, 6053?

Answer: HCF of 7754, 6053 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7754, 6053 using Euclid's Algorithm?

Answer: For arbitrary numbers 7754, 6053 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.