Highest Common Factor of 2902, 2156 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 2902, 2156 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2902, 2156 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 2902, 2156 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 2902, 2156 is 2.
HCF(2902, 2156) = 2
HCF of 2902, 2156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2902, 2156 is 2.
Highest Common Factor of 2902,2156 is 2
Step 1: Since 2902 > 2156, we apply the division lemma to 2902 and 2156, to get
2902 = 2156 x 1 + 746
Step 2: Since the reminder 2156 ≠ 0, we apply division lemma to 746 and 2156, to get
2156 = 746 x 2 + 664
Step 3: We consider the new divisor 746 and the new remainder 664, and apply the division lemma to get
746 = 664 x 1 + 82
We consider the new divisor 664 and the new remainder 82,and apply the division lemma to get
664 = 82 x 8 + 8
We consider the new divisor 82 and the new remainder 8,and apply the division lemma to get
82 = 8 x 10 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2902 and 2156 is 2
Notice that 2 = HCF(8,2) = HCF(82,8) = HCF(664,82) = HCF(746,664) = HCF(2156,746) = HCF(2902,2156) .
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Frequently Asked Questions on HCF of 2902, 2156 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 2902, 2156?
Answer: HCF of 2902, 2156 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2902, 2156 using Euclid's Algorithm?
Answer: For arbitrary numbers 2902, 2156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.