Highest Common Factor of 3150, 4900, 87656 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 3150, 4900, 87656 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3150, 4900, 87656 is 2 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 3150, 4900, 87656 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 3150, 4900, 87656 is 2.

HCF(3150, 4900, 87656) = 2

HCF of 3150, 4900, 87656 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 3150, 4900, 87656 is 2.

Highest Common Factor of 3150,4900,87656 using Euclid's algorithm

Highest Common Factor of 3150,4900,87656 is 2

Step 1: Since 4900 > 3150, we apply the division lemma to 4900 and 3150, to get

4900 = 3150 x 1 + 1750

Step 2: Since the reminder 3150 ≠ 0, we apply division lemma to 1750 and 3150, to get

3150 = 1750 x 1 + 1400

Step 3: We consider the new divisor 1750 and the new remainder 1400, and apply the division lemma to get

1750 = 1400 x 1 + 350

We consider the new divisor 1400 and the new remainder 350, and apply the division lemma to get

1400 = 350 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 350, the HCF of 3150 and 4900 is 350

Notice that 350 = HCF(1400,350) = HCF(1750,1400) = HCF(3150,1750) = HCF(4900,3150) .

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

Step 1: Since 87656 > 350, we apply the division lemma to 87656 and 350, to get

87656 = 350 x 250 + 156

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 156 and 350, to get

350 = 156 x 2 + 38

Step 3: We consider the new divisor 156 and the new remainder 38, and apply the division lemma to get

156 = 38 x 4 + 4

We consider the new divisor 38 and the new remainder 4,and apply the division lemma to get

38 = 4 x 9 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 350 and 87656 is 2

Notice that 2 = HCF(4,2) = HCF(38,4) = HCF(156,38) = HCF(350,156) = HCF(87656,350) .

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Frequently Asked Questions on HCF of 3150, 4900, 87656 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 3150, 4900, 87656?

Answer: HCF of 3150, 4900, 87656 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3150, 4900, 87656 using Euclid's Algorithm?

Answer: For arbitrary numbers 3150, 4900, 87656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.