Highest Common Factor of 2179, 3796 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 2179, 3796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2179, 3796 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 2179, 3796 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 2179, 3796 is 1.
HCF(2179, 3796) = 1
HCF of 2179, 3796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2179, 3796 is 1.
Highest Common Factor of 2179,3796 is 1
Step 1: Since 3796 > 2179, we apply the division lemma to 3796 and 2179, to get
3796 = 2179 x 1 + 1617
Step 2: Since the reminder 2179 ≠ 0, we apply division lemma to 1617 and 2179, to get
2179 = 1617 x 1 + 562
Step 3: We consider the new divisor 1617 and the new remainder 562, and apply the division lemma to get
1617 = 562 x 2 + 493
We consider the new divisor 562 and the new remainder 493,and apply the division lemma to get
562 = 493 x 1 + 69
We consider the new divisor 493 and the new remainder 69,and apply the division lemma to get
493 = 69 x 7 + 10
We consider the new divisor 69 and the new remainder 10,and apply the division lemma to get
69 = 10 x 6 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2179 and 3796 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(69,10) = HCF(493,69) = HCF(562,493) = HCF(1617,562) = HCF(2179,1617) = HCF(3796,2179) .
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Frequently Asked Questions on HCF of 2179, 3796 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 2179, 3796?
Answer: HCF of 2179, 3796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2179, 3796 using Euclid's Algorithm?
Answer: For arbitrary numbers 2179, 3796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.