Highest Common Factor of 676, 15777 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 676, 15777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 15777 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 676, 15777 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 676, 15777 is 1.
HCF(676, 15777) = 1
HCF of 676, 15777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 676, 15777 is 1.
Highest Common Factor of 676,15777 is 1
Step 1: Since 15777 > 676, we apply the division lemma to 15777 and 676, to get
15777 = 676 x 23 + 229
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 229 and 676, to get
676 = 229 x 2 + 218
Step 3: We consider the new divisor 229 and the new remainder 218, and apply the division lemma to get
229 = 218 x 1 + 11
We consider the new divisor 218 and the new remainder 11,and apply the division lemma to get
218 = 11 x 19 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 676 and 15777 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(218,11) = HCF(229,218) = HCF(676,229) = HCF(15777,676) .
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Frequently Asked Questions on HCF of 676, 15777 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 676, 15777?
Answer: HCF of 676, 15777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 15777 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 15777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.