Highest Common Factor of 2877, 7485 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 2877, 7485 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2877, 7485 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 2877, 7485 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 2877, 7485 is 3.
HCF(2877, 7485) = 3
HCF of 2877, 7485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2877, 7485 is 3.
Highest Common Factor of 2877,7485 is 3
Step 1: Since 7485 > 2877, we apply the division lemma to 7485 and 2877, to get
7485 = 2877 x 2 + 1731
Step 2: Since the reminder 2877 ≠ 0, we apply division lemma to 1731 and 2877, to get
2877 = 1731 x 1 + 1146
Step 3: We consider the new divisor 1731 and the new remainder 1146, and apply the division lemma to get
1731 = 1146 x 1 + 585
We consider the new divisor 1146 and the new remainder 585,and apply the division lemma to get
1146 = 585 x 1 + 561
We consider the new divisor 585 and the new remainder 561,and apply the division lemma to get
585 = 561 x 1 + 24
We consider the new divisor 561 and the new remainder 24,and apply the division lemma to get
561 = 24 x 23 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 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 2877 and 7485 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(561,24) = HCF(585,561) = HCF(1146,585) = HCF(1731,1146) = HCF(2877,1731) = HCF(7485,2877) .
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Frequently Asked Questions on HCF of 2877, 7485 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 2877, 7485?
Answer: HCF of 2877, 7485 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2877, 7485 using Euclid's Algorithm?
Answer: For arbitrary numbers 2877, 7485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.