Highest Common Factor of 1080, 1545 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 1080, 1545 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 1080, 1545 is 15 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 1080, 1545 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 1080, 1545 is 15.
HCF(1080, 1545) = 15
HCF of 1080, 1545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1080, 1545 is 15.
Highest Common Factor of 1080,1545 is 15
Step 1: Since 1545 > 1080, we apply the division lemma to 1545 and 1080, to get
1545 = 1080 x 1 + 465
Step 2: Since the reminder 1080 ≠ 0, we apply division lemma to 465 and 1080, to get
1080 = 465 x 2 + 150
Step 3: We consider the new divisor 465 and the new remainder 150, and apply the division lemma to get
465 = 150 x 3 + 15
We consider the new divisor 150 and the new remainder 15, and apply the division lemma to get
150 = 15 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 1080 and 1545 is 15
Notice that 15 = HCF(150,15) = HCF(465,150) = HCF(1080,465) = HCF(1545,1080) .
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Frequently Asked Questions on HCF of 1080, 1545 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 1080, 1545?
Answer: HCF of 1080, 1545 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1080, 1545 using Euclid's Algorithm?
Answer: For arbitrary numbers 1080, 1545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.