Highest Common Factor of 4756, 8468, 99872 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 4756, 8468, 99872 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 4756, 8468, 99872 is 4 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 4756, 8468, 99872 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 4756, 8468, 99872 is 4.

HCF(4756, 8468, 99872) = 4

HCF of 4756, 8468, 99872 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 4756, 8468, 99872 is 4.

Highest Common Factor of 4756,8468,99872 using Euclid's algorithm

Highest Common Factor of 4756,8468,99872 is 4

Step 1: Since 8468 > 4756, we apply the division lemma to 8468 and 4756, to get

8468 = 4756 x 1 + 3712

Step 2: Since the reminder 4756 ≠ 0, we apply division lemma to 3712 and 4756, to get

4756 = 3712 x 1 + 1044

Step 3: We consider the new divisor 3712 and the new remainder 1044, and apply the division lemma to get

3712 = 1044 x 3 + 580

We consider the new divisor 1044 and the new remainder 580,and apply the division lemma to get

1044 = 580 x 1 + 464

We consider the new divisor 580 and the new remainder 464,and apply the division lemma to get

580 = 464 x 1 + 116

We consider the new divisor 464 and the new remainder 116,and apply the division lemma to get

464 = 116 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 116, the HCF of 4756 and 8468 is 116

Notice that 116 = HCF(464,116) = HCF(580,464) = HCF(1044,580) = HCF(3712,1044) = HCF(4756,3712) = HCF(8468,4756) .

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

Step 1: Since 99872 > 116, we apply the division lemma to 99872 and 116, to get

99872 = 116 x 860 + 112

Step 2: Since the reminder 116 ≠ 0, we apply division lemma to 112 and 116, to get

116 = 112 x 1 + 4

Step 3: We consider the new divisor 112 and the new remainder 4, and apply the division lemma to get

112 = 4 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 116 and 99872 is 4

Notice that 4 = HCF(112,4) = HCF(116,112) = HCF(99872,116) .

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Frequently Asked Questions on HCF of 4756, 8468, 99872 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 4756, 8468, 99872?

Answer: HCF of 4756, 8468, 99872 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4756, 8468, 99872 using Euclid's Algorithm?

Answer: For arbitrary numbers 4756, 8468, 99872 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.