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 615, 369, 271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 369, 271 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 615, 369, 271 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 615, 369, 271 is 1.
HCF(615, 369, 271) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 369, 271 is 1.
Step 1: Since 615 > 369, we apply the division lemma to 615 and 369, to get
615 = 369 x 1 + 246
Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 246 and 369, to get
369 = 246 x 1 + 123
Step 3: We consider the new divisor 246 and the new remainder 123, and apply the division lemma to get
246 = 123 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 123, the HCF of 615 and 369 is 123
Notice that 123 = HCF(246,123) = HCF(369,246) = HCF(615,369) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 271 > 123, we apply the division lemma to 271 and 123, to get
271 = 123 x 2 + 25
Step 2: Since the reminder 123 ≠ 0, we apply division lemma to 25 and 123, to get
123 = 25 x 4 + 23
Step 3: We consider the new divisor 25 and the new remainder 23, and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 123 and 271 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(123,25) = HCF(271,123) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 615, 369, 271?
Answer: HCF of 615, 369, 271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 369, 271 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 369, 271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.