Highest Common Factor of 2865, 7452 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 2865, 7452 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2865, 7452 is 3 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 2865, 7452 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 2865, 7452 is 3.
HCF(2865, 7452) = 3
HCF of 2865, 7452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2865, 7452 is 3.
Highest Common Factor of 2865,7452 is 3
Step 1: Since 7452 > 2865, we apply the division lemma to 7452 and 2865, to get
7452 = 2865 x 2 + 1722
Step 2: Since the reminder 2865 ≠ 0, we apply division lemma to 1722 and 2865, to get
2865 = 1722 x 1 + 1143
Step 3: We consider the new divisor 1722 and the new remainder 1143, and apply the division lemma to get
1722 = 1143 x 1 + 579
We consider the new divisor 1143 and the new remainder 579,and apply the division lemma to get
1143 = 579 x 1 + 564
We consider the new divisor 579 and the new remainder 564,and apply the division lemma to get
579 = 564 x 1 + 15
We consider the new divisor 564 and the new remainder 15,and apply the division lemma to get
564 = 15 x 37 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2865 and 7452 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(564,15) = HCF(579,564) = HCF(1143,579) = HCF(1722,1143) = HCF(2865,1722) = HCF(7452,2865) .
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Frequently Asked Questions on HCF of 2865, 7452 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 2865, 7452?
Answer: HCF of 2865, 7452 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2865, 7452 using Euclid's Algorithm?
Answer: For arbitrary numbers 2865, 7452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.