Highest Common Factor of 4923, 7049, 77312 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 4923, 7049, 77312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4923, 7049, 77312 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 4923, 7049, 77312 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 4923, 7049, 77312 is 1.

HCF(4923, 7049, 77312) = 1

HCF of 4923, 7049, 77312 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 4923, 7049, 77312 is 1.

Highest Common Factor of 4923,7049,77312 using Euclid's algorithm

Highest Common Factor of 4923,7049,77312 is 1

Step 1: Since 7049 > 4923, we apply the division lemma to 7049 and 4923, to get

7049 = 4923 x 1 + 2126

Step 2: Since the reminder 4923 ≠ 0, we apply division lemma to 2126 and 4923, to get

4923 = 2126 x 2 + 671

Step 3: We consider the new divisor 2126 and the new remainder 671, and apply the division lemma to get

2126 = 671 x 3 + 113

We consider the new divisor 671 and the new remainder 113,and apply the division lemma to get

671 = 113 x 5 + 106

We consider the new divisor 113 and the new remainder 106,and apply the division lemma to get

113 = 106 x 1 + 7

We consider the new divisor 106 and the new remainder 7,and apply the division lemma to get

106 = 7 x 15 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4923 and 7049 is 1

Notice that 1 = HCF(7,1) = HCF(106,7) = HCF(113,106) = HCF(671,113) = HCF(2126,671) = HCF(4923,2126) = HCF(7049,4923) .

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

Step 1: Since 77312 > 1, we apply the division lemma to 77312 and 1, to get

77312 = 1 x 77312 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77312 is 1

Notice that 1 = HCF(77312,1) .

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Frequently Asked Questions on HCF of 4923, 7049, 77312 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 4923, 7049, 77312?

Answer: HCF of 4923, 7049, 77312 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4923, 7049, 77312 using Euclid's Algorithm?

Answer: For arbitrary numbers 4923, 7049, 77312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.