Highest Common Factor of 270, 756, 487 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 270, 756, 487 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 270, 756, 487 is 1 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 270, 756, 487 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 270, 756, 487 is 1.
HCF(270, 756, 487) = 1
HCF of 270, 756, 487 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 270, 756, 487 is 1.
Highest Common Factor of 270,756,487 is 1
Step 1: Since 756 > 270, we apply the division lemma to 756 and 270, to get
756 = 270 x 2 + 216
Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 216 and 270, to get
270 = 216 x 1 + 54
Step 3: We consider the new divisor 216 and the new remainder 54, and apply the division lemma to get
216 = 54 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 54, the HCF of 270 and 756 is 54
Notice that 54 = HCF(216,54) = HCF(270,216) = HCF(756,270) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 487 > 54, we apply the division lemma to 487 and 54, to get
487 = 54 x 9 + 1
Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 1 and 54, to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 54 and 487 is 1
Notice that 1 = HCF(54,1) = HCF(487,54) .
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Frequently Asked Questions on HCF of 270, 756, 487 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 270, 756, 487?
Answer: HCF of 270, 756, 487 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 270, 756, 487 using Euclid's Algorithm?
Answer: For arbitrary numbers 270, 756, 487 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.