Highest Common Factor of 875, 532, 702 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 875, 532, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 875, 532, 702 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 875, 532, 702 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 875, 532, 702 is 1.

HCF(875, 532, 702) = 1

HCF of 875, 532, 702 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 875, 532, 702 is 1.

Highest Common Factor of 875,532,702 using Euclid's algorithm

Highest Common Factor of 875,532,702 is 1

Step 1: Since 875 > 532, we apply the division lemma to 875 and 532, to get

875 = 532 x 1 + 343

Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 343 and 532, to get

532 = 343 x 1 + 189

Step 3: We consider the new divisor 343 and the new remainder 189, and apply the division lemma to get

343 = 189 x 1 + 154

We consider the new divisor 189 and the new remainder 154,and apply the division lemma to get

189 = 154 x 1 + 35

We consider the new divisor 154 and the new remainder 35,and apply the division lemma to get

154 = 35 x 4 + 14

We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get

35 = 14 x 2 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 875 and 532 is 7

Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(154,35) = HCF(189,154) = HCF(343,189) = HCF(532,343) = HCF(875,532) .

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

Step 1: Since 702 > 7, we apply the division lemma to 702 and 7, to get

702 = 7 x 100 + 2

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get

7 = 2 x 3 + 1

Step 3: 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 7 and 702 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(702,7) .

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Frequently Asked Questions on HCF of 875, 532, 702 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 875, 532, 702?

Answer: HCF of 875, 532, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 875, 532, 702 using Euclid's Algorithm?

Answer: For arbitrary numbers 875, 532, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.