Highest Common Factor of 737, 275, 847 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 737, 275, 847 i.e. 11 the largest integer that leaves a remainder zero for all numbers.

HCF of 737, 275, 847 is 11 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 737, 275, 847 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 737, 275, 847 is 11.

HCF(737, 275, 847) = 11

HCF of 737, 275, 847 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 737, 275, 847 is 11.

Highest Common Factor of 737,275,847 using Euclid's algorithm

Highest Common Factor of 737,275,847 is 11

Step 1: Since 737 > 275, we apply the division lemma to 737 and 275, to get

737 = 275 x 2 + 187

Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 187 and 275, to get

275 = 187 x 1 + 88

Step 3: We consider the new divisor 187 and the new remainder 88, and apply the division lemma to get

187 = 88 x 2 + 11

We consider the new divisor 88 and the new remainder 11, and apply the division lemma to get

88 = 11 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 737 and 275 is 11

Notice that 11 = HCF(88,11) = HCF(187,88) = HCF(275,187) = HCF(737,275) .


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

Step 1: Since 847 > 11, we apply the division lemma to 847 and 11, to get

847 = 11 x 77 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 847 is 11

Notice that 11 = HCF(847,11) .

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Frequently Asked Questions on HCF of 737, 275, 847 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 737, 275, 847?

Answer: HCF of 737, 275, 847 is 11 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 737, 275, 847 using Euclid's Algorithm?

Answer: For arbitrary numbers 737, 275, 847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.