Highest Common Factor of 4902, 7844, 98538 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 4902, 7844, 98538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4902, 7844, 98538 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 4902, 7844, 98538 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 4902, 7844, 98538 is 2.

HCF(4902, 7844, 98538) = 2

HCF of 4902, 7844, 98538 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 4902, 7844, 98538 is 2.

Highest Common Factor of 4902,7844,98538 using Euclid's algorithm

Highest Common Factor of 4902,7844,98538 is 2

Step 1: Since 7844 > 4902, we apply the division lemma to 7844 and 4902, to get

7844 = 4902 x 1 + 2942

Step 2: Since the reminder 4902 ≠ 0, we apply division lemma to 2942 and 4902, to get

4902 = 2942 x 1 + 1960

Step 3: We consider the new divisor 2942 and the new remainder 1960, and apply the division lemma to get

2942 = 1960 x 1 + 982

We consider the new divisor 1960 and the new remainder 982,and apply the division lemma to get

1960 = 982 x 1 + 978

We consider the new divisor 982 and the new remainder 978,and apply the division lemma to get

982 = 978 x 1 + 4

We consider the new divisor 978 and the new remainder 4,and apply the division lemma to get

978 = 4 x 244 + 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 4902 and 7844 is 2

Notice that 2 = HCF(4,2) = HCF(978,4) = HCF(982,978) = HCF(1960,982) = HCF(2942,1960) = HCF(4902,2942) = HCF(7844,4902) .

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

Step 1: Since 98538 > 2, we apply the division lemma to 98538 and 2, to get

98538 = 2 x 49269 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 98538 is 2

Notice that 2 = HCF(98538,2) .

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Frequently Asked Questions on HCF of 4902, 7844, 98538 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 4902, 7844, 98538?

Answer: HCF of 4902, 7844, 98538 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4902, 7844, 98538 using Euclid's Algorithm?

Answer: For arbitrary numbers 4902, 7844, 98538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.