Highest Common Factor of 9137, 2346 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 9137, 2346 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9137, 2346 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 9137, 2346 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 9137, 2346 is 1.
HCF(9137, 2346) = 1
HCF of 9137, 2346 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9137, 2346 is 1.
Highest Common Factor of 9137,2346 is 1
Step 1: Since 9137 > 2346, we apply the division lemma to 9137 and 2346, to get
9137 = 2346 x 3 + 2099
Step 2: Since the reminder 2346 ≠ 0, we apply division lemma to 2099 and 2346, to get
2346 = 2099 x 1 + 247
Step 3: We consider the new divisor 2099 and the new remainder 247, and apply the division lemma to get
2099 = 247 x 8 + 123
We consider the new divisor 247 and the new remainder 123,and apply the division lemma to get
247 = 123 x 2 + 1
We consider the new divisor 123 and the new remainder 1,and apply the division lemma to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9137 and 2346 is 1
Notice that 1 = HCF(123,1) = HCF(247,123) = HCF(2099,247) = HCF(2346,2099) = HCF(9137,2346) .
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Frequently Asked Questions on HCF of 9137, 2346 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 9137, 2346?
Answer: HCF of 9137, 2346 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9137, 2346 using Euclid's Algorithm?
Answer: For arbitrary numbers 9137, 2346 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.