Highest Common Factor of 2875, 9260 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 2875, 9260 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2875, 9260 is 5 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 2875, 9260 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 2875, 9260 is 5.
HCF(2875, 9260) = 5
HCF of 2875, 9260 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2875, 9260 is 5.
Highest Common Factor of 2875,9260 is 5
Step 1: Since 9260 > 2875, we apply the division lemma to 9260 and 2875, to get
9260 = 2875 x 3 + 635
Step 2: Since the reminder 2875 ≠ 0, we apply division lemma to 635 and 2875, to get
2875 = 635 x 4 + 335
Step 3: We consider the new divisor 635 and the new remainder 335, and apply the division lemma to get
635 = 335 x 1 + 300
We consider the new divisor 335 and the new remainder 300,and apply the division lemma to get
335 = 300 x 1 + 35
We consider the new divisor 300 and the new remainder 35,and apply the division lemma to get
300 = 35 x 8 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2875 and 9260 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(300,35) = HCF(335,300) = HCF(635,335) = HCF(2875,635) = HCF(9260,2875) .
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Frequently Asked Questions on HCF of 2875, 9260 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 2875, 9260?
Answer: HCF of 2875, 9260 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2875, 9260 using Euclid's Algorithm?
Answer: For arbitrary numbers 2875, 9260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.