Highest Common Factor of 953, 688, 526 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 953, 688, 526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 953, 688, 526 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 953, 688, 526 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 953, 688, 526 is 1.

HCF(953, 688, 526) = 1

HCF of 953, 688, 526 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 953, 688, 526 is 1.

Highest Common Factor of 953,688,526 using Euclid's algorithm

Highest Common Factor of 953,688,526 is 1

Step 1: Since 953 > 688, we apply the division lemma to 953 and 688, to get

953 = 688 x 1 + 265

Step 2: Since the reminder 688 ≠ 0, we apply division lemma to 265 and 688, to get

688 = 265 x 2 + 158

Step 3: We consider the new divisor 265 and the new remainder 158, and apply the division lemma to get

265 = 158 x 1 + 107

We consider the new divisor 158 and the new remainder 107,and apply the division lemma to get

158 = 107 x 1 + 51

We consider the new divisor 107 and the new remainder 51,and apply the division lemma to get

107 = 51 x 2 + 5

We consider the new divisor 51 and the new remainder 5,and apply the division lemma to get

51 = 5 x 10 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 953 and 688 is 1

Notice that 1 = HCF(5,1) = HCF(51,5) = HCF(107,51) = HCF(158,107) = HCF(265,158) = HCF(688,265) = HCF(953,688) .

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

Step 1: Since 526 > 1, we apply the division lemma to 526 and 1, to get

526 = 1 x 526 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 526 is 1

Notice that 1 = HCF(526,1) .

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Frequently Asked Questions on HCF of 953, 688, 526 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 953, 688, 526?

Answer: HCF of 953, 688, 526 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 953, 688, 526 using Euclid's Algorithm?

Answer: For arbitrary numbers 953, 688, 526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.