Highest Common Factor of 2340, 9126 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 2340, 9126 i.e. 234 the largest integer that leaves a remainder zero for all numbers.
HCF of 2340, 9126 is 234 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 2340, 9126 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 2340, 9126 is 234.
HCF(2340, 9126) = 234
HCF of 2340, 9126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2340, 9126 is 234.
Highest Common Factor of 2340,9126 is 234
Step 1: Since 9126 > 2340, we apply the division lemma to 9126 and 2340, to get
9126 = 2340 x 3 + 2106
Step 2: Since the reminder 2340 ≠ 0, we apply division lemma to 2106 and 2340, to get
2340 = 2106 x 1 + 234
Step 3: We consider the new divisor 2106 and the new remainder 234, and apply the division lemma to get
2106 = 234 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 234, the HCF of 2340 and 9126 is 234
Notice that 234 = HCF(2106,234) = HCF(2340,2106) = HCF(9126,2340) .
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Frequently Asked Questions on HCF of 2340, 9126 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 2340, 9126?
Answer: HCF of 2340, 9126 is 234 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2340, 9126 using Euclid's Algorithm?
Answer: For arbitrary numbers 2340, 9126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.