Highest Common Factor of 2580, 1136 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 2580, 1136 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2580, 1136 is 4 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 2580, 1136 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 2580, 1136 is 4.
HCF(2580, 1136) = 4
HCF of 2580, 1136 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2580, 1136 is 4.
Highest Common Factor of 2580,1136 is 4
Step 1: Since 2580 > 1136, we apply the division lemma to 2580 and 1136, to get
2580 = 1136 x 2 + 308
Step 2: Since the reminder 1136 ≠ 0, we apply division lemma to 308 and 1136, to get
1136 = 308 x 3 + 212
Step 3: We consider the new divisor 308 and the new remainder 212, and apply the division lemma to get
308 = 212 x 1 + 96
We consider the new divisor 212 and the new remainder 96,and apply the division lemma to get
212 = 96 x 2 + 20
We consider the new divisor 96 and the new remainder 20,and apply the division lemma to get
96 = 20 x 4 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2580 and 1136 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(96,20) = HCF(212,96) = HCF(308,212) = HCF(1136,308) = HCF(2580,1136) .
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Frequently Asked Questions on HCF of 2580, 1136 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 2580, 1136?
Answer: HCF of 2580, 1136 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2580, 1136 using Euclid's Algorithm?
Answer: For arbitrary numbers 2580, 1136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.