Highest Common Factor of 707, 975, 869 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 707, 975, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 707, 975, 869 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 707, 975, 869 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 707, 975, 869 is 1.

HCF(707, 975, 869) = 1

HCF of 707, 975, 869 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 707, 975, 869 is 1.

Highest Common Factor of 707,975,869 using Euclid's algorithm

Highest Common Factor of 707,975,869 is 1

Step 1: Since 975 > 707, we apply the division lemma to 975 and 707, to get

975 = 707 x 1 + 268

Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 268 and 707, to get

707 = 268 x 2 + 171

Step 3: We consider the new divisor 268 and the new remainder 171, and apply the division lemma to get

268 = 171 x 1 + 97

We consider the new divisor 171 and the new remainder 97,and apply the division lemma to get

171 = 97 x 1 + 74

We consider the new divisor 97 and the new remainder 74,and apply the division lemma to get

97 = 74 x 1 + 23

We consider the new divisor 74 and the new remainder 23,and apply the division lemma to get

74 = 23 x 3 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 707 and 975 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(74,23) = HCF(97,74) = HCF(171,97) = HCF(268,171) = HCF(707,268) = HCF(975,707) .

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

Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get

869 = 1 x 869 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1

Notice that 1 = HCF(869,1) .

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Frequently Asked Questions on HCF of 707, 975, 869 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 707, 975, 869?

Answer: HCF of 707, 975, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 707, 975, 869 using Euclid's Algorithm?

Answer: For arbitrary numbers 707, 975, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.