Highest Common Factor of 771, 535, 100 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 771, 535, 100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 771, 535, 100 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 771, 535, 100 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 771, 535, 100 is 1.

HCF(771, 535, 100) = 1

HCF of 771, 535, 100 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 771, 535, 100 is 1.

Highest Common Factor of 771,535,100 using Euclid's algorithm

Highest Common Factor of 771,535,100 is 1

Step 1: Since 771 > 535, we apply the division lemma to 771 and 535, to get

771 = 535 x 1 + 236

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 236 and 535, to get

535 = 236 x 2 + 63

Step 3: We consider the new divisor 236 and the new remainder 63, and apply the division lemma to get

236 = 63 x 3 + 47

We consider the new divisor 63 and the new remainder 47,and apply the division lemma to get

63 = 47 x 1 + 16

We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get

47 = 16 x 2 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 771 and 535 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(63,47) = HCF(236,63) = HCF(535,236) = HCF(771,535) .

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

Step 1: Since 100 > 1, we apply the division lemma to 100 and 1, to get

100 = 1 x 100 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 100 is 1

Notice that 1 = HCF(100,1) .

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Frequently Asked Questions on HCF of 771, 535, 100 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 771, 535, 100?

Answer: HCF of 771, 535, 100 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 771, 535, 100 using Euclid's Algorithm?

Answer: For arbitrary numbers 771, 535, 100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.