Highest Common Factor of 6557, 8779 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 6557, 8779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6557, 8779 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 6557, 8779 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 6557, 8779 is 1.
HCF(6557, 8779) = 1
HCF of 6557, 8779 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6557, 8779 is 1.
Highest Common Factor of 6557,8779 is 1
Step 1: Since 8779 > 6557, we apply the division lemma to 8779 and 6557, to get
8779 = 6557 x 1 + 2222
Step 2: Since the reminder 6557 ≠ 0, we apply division lemma to 2222 and 6557, to get
6557 = 2222 x 2 + 2113
Step 3: We consider the new divisor 2222 and the new remainder 2113, and apply the division lemma to get
2222 = 2113 x 1 + 109
We consider the new divisor 2113 and the new remainder 109,and apply the division lemma to get
2113 = 109 x 19 + 42
We consider the new divisor 109 and the new remainder 42,and apply the division lemma to get
109 = 42 x 2 + 25
We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get
42 = 25 x 1 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6557 and 8779 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(109,42) = HCF(2113,109) = HCF(2222,2113) = HCF(6557,2222) = HCF(8779,6557) .
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Frequently Asked Questions on HCF of 6557, 8779 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 6557, 8779?
Answer: HCF of 6557, 8779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6557, 8779 using Euclid's Algorithm?
Answer: For arbitrary numbers 6557, 8779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
