Highest Common Factor of 676, 3027 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, 3027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 676, 3027 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, 3027 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, 3027 is 1.
HCF(676, 3027) = 1
HCF of 676, 3027 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, 3027 is 1.
Highest Common Factor of 676,3027 is 1
Step 1: Since 3027 > 676, we apply the division lemma to 3027 and 676, to get
3027 = 676 x 4 + 323
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 323 and 676, to get
676 = 323 x 2 + 30
Step 3: We consider the new divisor 323 and the new remainder 30, and apply the division lemma to get
323 = 30 x 10 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3027 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(323,30) = HCF(676,323) = HCF(3027,676) .
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Frequently Asked Questions on HCF of 676, 3027 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, 3027?
Answer: HCF of 676, 3027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 676, 3027 using Euclid's Algorithm?
Answer: For arbitrary numbers 676, 3027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.