Highest Common Factor of 3626, 2178 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 3626, 2178 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3626, 2178 is 2 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 3626, 2178 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 3626, 2178 is 2.
HCF(3626, 2178) = 2
HCF of 3626, 2178 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3626, 2178 is 2.
Highest Common Factor of 3626,2178 is 2
Step 1: Since 3626 > 2178, we apply the division lemma to 3626 and 2178, to get
3626 = 2178 x 1 + 1448
Step 2: Since the reminder 2178 ≠ 0, we apply division lemma to 1448 and 2178, to get
2178 = 1448 x 1 + 730
Step 3: We consider the new divisor 1448 and the new remainder 730, and apply the division lemma to get
1448 = 730 x 1 + 718
We consider the new divisor 730 and the new remainder 718,and apply the division lemma to get
730 = 718 x 1 + 12
We consider the new divisor 718 and the new remainder 12,and apply the division lemma to get
718 = 12 x 59 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3626 and 2178 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(718,12) = HCF(730,718) = HCF(1448,730) = HCF(2178,1448) = HCF(3626,2178) .
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Frequently Asked Questions on HCF of 3626, 2178 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 3626, 2178?
Answer: HCF of 3626, 2178 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3626, 2178 using Euclid's Algorithm?
Answer: For arbitrary numbers 3626, 2178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.