Highest Common Factor of 2457, 7887 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 2457, 7887 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2457, 7887 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 2457, 7887 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 2457, 7887 is 3.
HCF(2457, 7887) = 3
HCF of 2457, 7887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2457, 7887 is 3.
Highest Common Factor of 2457,7887 is 3
Step 1: Since 7887 > 2457, we apply the division lemma to 7887 and 2457, to get
7887 = 2457 x 3 + 516
Step 2: Since the reminder 2457 ≠ 0, we apply division lemma to 516 and 2457, to get
2457 = 516 x 4 + 393
Step 3: We consider the new divisor 516 and the new remainder 393, and apply the division lemma to get
516 = 393 x 1 + 123
We consider the new divisor 393 and the new remainder 123,and apply the division lemma to get
393 = 123 x 3 + 24
We consider the new divisor 123 and the new remainder 24,and apply the division lemma to get
123 = 24 x 5 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2457 and 7887 is 3
Notice that 3 = HCF(24,3) = HCF(123,24) = HCF(393,123) = HCF(516,393) = HCF(2457,516) = HCF(7887,2457) .
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Frequently Asked Questions on HCF of 2457, 7887 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 2457, 7887?
Answer: HCF of 2457, 7887 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2457, 7887 using Euclid's Algorithm?
Answer: For arbitrary numbers 2457, 7887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.