Highest Common Factor of 2878, 8160 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 2878, 8160 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2878, 8160 is 2 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 2878, 8160 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 2878, 8160 is 2.
HCF(2878, 8160) = 2
HCF of 2878, 8160 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2878, 8160 is 2.
Highest Common Factor of 2878,8160 is 2
Step 1: Since 8160 > 2878, we apply the division lemma to 8160 and 2878, to get
8160 = 2878 x 2 + 2404
Step 2: Since the reminder 2878 ≠ 0, we apply division lemma to 2404 and 2878, to get
2878 = 2404 x 1 + 474
Step 3: We consider the new divisor 2404 and the new remainder 474, and apply the division lemma to get
2404 = 474 x 5 + 34
We consider the new divisor 474 and the new remainder 34,and apply the division lemma to get
474 = 34 x 13 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2878 and 8160 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(474,34) = HCF(2404,474) = HCF(2878,2404) = HCF(8160,2878) .
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Frequently Asked Questions on HCF of 2878, 8160 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 2878, 8160?
Answer: HCF of 2878, 8160 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2878, 8160 using Euclid's Algorithm?
Answer: For arbitrary numbers 2878, 8160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
