Highest Common Factor of 2137, 3086 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 2137, 3086 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2137, 3086 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 2137, 3086 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 2137, 3086 is 1.
HCF(2137, 3086) = 1
HCF of 2137, 3086 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2137, 3086 is 1.
Highest Common Factor of 2137,3086 is 1
Step 1: Since 3086 > 2137, we apply the division lemma to 3086 and 2137, to get
3086 = 2137 x 1 + 949
Step 2: Since the reminder 2137 ≠ 0, we apply division lemma to 949 and 2137, to get
2137 = 949 x 2 + 239
Step 3: We consider the new divisor 949 and the new remainder 239, and apply the division lemma to get
949 = 239 x 3 + 232
We consider the new divisor 239 and the new remainder 232,and apply the division lemma to get
239 = 232 x 1 + 7
We consider the new divisor 232 and the new remainder 7,and apply the division lemma to get
232 = 7 x 33 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2137 and 3086 is 1
Notice that 1 = HCF(7,1) = HCF(232,7) = HCF(239,232) = HCF(949,239) = HCF(2137,949) = HCF(3086,2137) .
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Frequently Asked Questions on HCF of 2137, 3086 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 2137, 3086?
Answer: HCF of 2137, 3086 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2137, 3086 using Euclid's Algorithm?
Answer: For arbitrary numbers 2137, 3086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.