Highest Common Factor of 935, 748, 208 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 935, 748, 208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 935, 748, 208 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 935, 748, 208 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 935, 748, 208 is 1.

HCF(935, 748, 208) = 1

HCF of 935, 748, 208 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 935, 748, 208 is 1.

Highest Common Factor of 935,748,208 using Euclid's algorithm

Highest Common Factor of 935,748,208 is 1

Step 1: Since 935 > 748, we apply the division lemma to 935 and 748, to get

935 = 748 x 1 + 187

Step 2: Since the reminder 748 ≠ 0, we apply division lemma to 187 and 748, to get

748 = 187 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 187, the HCF of 935 and 748 is 187

Notice that 187 = HCF(748,187) = HCF(935,748) .

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

Step 1: Since 208 > 187, we apply the division lemma to 208 and 187, to get

208 = 187 x 1 + 21

Step 2: Since the reminder 187 ≠ 0, we apply division lemma to 21 and 187, to get

187 = 21 x 8 + 19

Step 3: We consider the new divisor 21 and the new remainder 19, and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 187 and 208 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(187,21) = HCF(208,187) .

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Frequently Asked Questions on HCF of 935, 748, 208 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 935, 748, 208?

Answer: HCF of 935, 748, 208 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 935, 748, 208 using Euclid's Algorithm?

Answer: For arbitrary numbers 935, 748, 208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.