Highest Common Factor of 4921, 7288 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 4921, 7288 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4921, 7288 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 4921, 7288 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 4921, 7288 is 1.

HCF(4921, 7288) = 1

HCF of 4921, 7288 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 4921, 7288 is 1.

Highest Common Factor of 4921,7288 using Euclid's algorithm

Highest Common Factor of 4921,7288 is 1

Step 1: Since 7288 > 4921, we apply the division lemma to 7288 and 4921, to get

7288 = 4921 x 1 + 2367

Step 2: Since the reminder 4921 ≠ 0, we apply division lemma to 2367 and 4921, to get

4921 = 2367 x 2 + 187

Step 3: We consider the new divisor 2367 and the new remainder 187, and apply the division lemma to get

2367 = 187 x 12 + 123

We consider the new divisor 187 and the new remainder 123,and apply the division lemma to get

187 = 123 x 1 + 64

We consider the new divisor 123 and the new remainder 64,and apply the division lemma to get

123 = 64 x 1 + 59

We consider the new divisor 64 and the new remainder 59,and apply the division lemma to get

64 = 59 x 1 + 5

We consider the new divisor 59 and the new remainder 5,and apply the division lemma to get

59 = 5 x 11 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4921 and 7288 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(59,5) = HCF(64,59) = HCF(123,64) = HCF(187,123) = HCF(2367,187) = HCF(4921,2367) = HCF(7288,4921) .

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Frequently Asked Questions on HCF of 4921, 7288 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 4921, 7288?

Answer: HCF of 4921, 7288 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4921, 7288 using Euclid's Algorithm?

Answer: For arbitrary numbers 4921, 7288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.