Highest Common Factor of 732, 991, 277 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 732, 991, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 732, 991, 277 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 732, 991, 277 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 732, 991, 277 is 1.

HCF(732, 991, 277) = 1

HCF of 732, 991, 277 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 732, 991, 277 is 1.

Highest Common Factor of 732,991,277 using Euclid's algorithm

Highest Common Factor of 732,991,277 is 1

Step 1: Since 991 > 732, we apply the division lemma to 991 and 732, to get

991 = 732 x 1 + 259

Step 2: Since the reminder 732 ≠ 0, we apply division lemma to 259 and 732, to get

732 = 259 x 2 + 214

Step 3: We consider the new divisor 259 and the new remainder 214, and apply the division lemma to get

259 = 214 x 1 + 45

We consider the new divisor 214 and the new remainder 45,and apply the division lemma to get

214 = 45 x 4 + 34

We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get

45 = 34 x 1 + 11

We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get

34 = 11 x 3 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 732 and 991 is 1

Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(214,45) = HCF(259,214) = HCF(732,259) = HCF(991,732) .

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

Step 1: Since 277 > 1, we apply the division lemma to 277 and 1, to get

277 = 1 x 277 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 277 is 1

Notice that 1 = HCF(277,1) .

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Frequently Asked Questions on HCF of 732, 991, 277 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 732, 991, 277?

Answer: HCF of 732, 991, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 732, 991, 277 using Euclid's Algorithm?

Answer: For arbitrary numbers 732, 991, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.