Highest Common Factor of 618, 278 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 618, 278 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 278 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 618, 278 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 618, 278 is 2.
HCF(618, 278) = 2
HCF of 618, 278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 618, 278 is 2.
Highest Common Factor of 618,278 is 2
Step 1: Since 618 > 278, we apply the division lemma to 618 and 278, to get
618 = 278 x 2 + 62
Step 2: Since the reminder 278 ≠ 0, we apply division lemma to 62 and 278, to get
278 = 62 x 4 + 30
Step 3: We consider the new divisor 62 and the new remainder 30, and apply the division lemma to get
62 = 30 x 2 + 2
We consider the new divisor 30 and the new remainder 2, and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 618 and 278 is 2
Notice that 2 = HCF(30,2) = HCF(62,30) = HCF(278,62) = HCF(618,278) .
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Frequently Asked Questions on HCF of 618, 278 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 618, 278?
Answer: HCF of 618, 278 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 278 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.