Highest Common Factor of 8779, 6853 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 8779, 6853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8779, 6853 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 8779, 6853 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 8779, 6853 is 1.

HCF(8779, 6853) = 1

HCF of 8779, 6853 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 8779, 6853 is 1.

Highest Common Factor of 8779,6853 using Euclid's algorithm

Highest Common Factor of 8779,6853 is 1

Step 1: Since 8779 > 6853, we apply the division lemma to 8779 and 6853, to get

8779 = 6853 x 1 + 1926

Step 2: Since the reminder 6853 ≠ 0, we apply division lemma to 1926 and 6853, to get

6853 = 1926 x 3 + 1075

Step 3: We consider the new divisor 1926 and the new remainder 1075, and apply the division lemma to get

1926 = 1075 x 1 + 851

We consider the new divisor 1075 and the new remainder 851,and apply the division lemma to get

1075 = 851 x 1 + 224

We consider the new divisor 851 and the new remainder 224,and apply the division lemma to get

851 = 224 x 3 + 179

We consider the new divisor 224 and the new remainder 179,and apply the division lemma to get

224 = 179 x 1 + 45

We consider the new divisor 179 and the new remainder 45,and apply the division lemma to get

179 = 45 x 3 + 44

We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get

45 = 44 x 1 + 1

We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get

44 = 1 x 44 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8779 and 6853 is 1

Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(179,45) = HCF(224,179) = HCF(851,224) = HCF(1075,851) = HCF(1926,1075) = HCF(6853,1926) = HCF(8779,6853) .

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Frequently Asked Questions on HCF of 8779, 6853 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 8779, 6853?

Answer: HCF of 8779, 6853 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8779, 6853 using Euclid's Algorithm?

Answer: For arbitrary numbers 8779, 6853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.