Highest Common Factor of 952, 688, 649 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 952, 688, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 952, 688, 649 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 952, 688, 649 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 952, 688, 649 is 1.

HCF(952, 688, 649) = 1

HCF of 952, 688, 649 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 952, 688, 649 is 1.

Highest Common Factor of 952,688,649 using Euclid's algorithm

Highest Common Factor of 952,688,649 is 1

Step 1: Since 952 > 688, we apply the division lemma to 952 and 688, to get

952 = 688 x 1 + 264

Step 2: Since the reminder 688 ≠ 0, we apply division lemma to 264 and 688, to get

688 = 264 x 2 + 160

Step 3: We consider the new divisor 264 and the new remainder 160, and apply the division lemma to get

264 = 160 x 1 + 104

We consider the new divisor 160 and the new remainder 104,and apply the division lemma to get

160 = 104 x 1 + 56

We consider the new divisor 104 and the new remainder 56,and apply the division lemma to get

104 = 56 x 1 + 48

We consider the new divisor 56 and the new remainder 48,and apply the division lemma to get

56 = 48 x 1 + 8

We consider the new divisor 48 and the new remainder 8,and apply the division lemma to get

48 = 8 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 952 and 688 is 8

Notice that 8 = HCF(48,8) = HCF(56,48) = HCF(104,56) = HCF(160,104) = HCF(264,160) = HCF(688,264) = HCF(952,688) .

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

Step 1: Since 649 > 8, we apply the division lemma to 649 and 8, to get

649 = 8 x 81 + 1

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 1 and 8, to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 649 is 1

Notice that 1 = HCF(8,1) = HCF(649,8) .

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Frequently Asked Questions on HCF of 952, 688, 649 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 952, 688, 649?

Answer: HCF of 952, 688, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 952, 688, 649 using Euclid's Algorithm?

Answer: For arbitrary numbers 952, 688, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.