Highest Common Factor of 5347, 7575 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 5347, 7575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5347, 7575 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 5347, 7575 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 5347, 7575 is 1.

HCF(5347, 7575) = 1

HCF of 5347, 7575 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 5347, 7575 is 1.

Highest Common Factor of 5347,7575 using Euclid's algorithm

Highest Common Factor of 5347,7575 is 1

Step 1: Since 7575 > 5347, we apply the division lemma to 7575 and 5347, to get

7575 = 5347 x 1 + 2228

Step 2: Since the reminder 5347 ≠ 0, we apply division lemma to 2228 and 5347, to get

5347 = 2228 x 2 + 891

Step 3: We consider the new divisor 2228 and the new remainder 891, and apply the division lemma to get

2228 = 891 x 2 + 446

We consider the new divisor 891 and the new remainder 446,and apply the division lemma to get

891 = 446 x 1 + 445

We consider the new divisor 446 and the new remainder 445,and apply the division lemma to get

446 = 445 x 1 + 1

We consider the new divisor 445 and the new remainder 1,and apply the division lemma to get

445 = 1 x 445 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5347 and 7575 is 1

Notice that 1 = HCF(445,1) = HCF(446,445) = HCF(891,446) = HCF(2228,891) = HCF(5347,2228) = HCF(7575,5347) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5347, 7575 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 5347, 7575?

Answer: HCF of 5347, 7575 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5347, 7575 using Euclid's Algorithm?

Answer: For arbitrary numbers 5347, 7575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.