Highest Common Factor of 618, 976 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, 976 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 976 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, 976 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, 976 is 2.
HCF(618, 976) = 2
HCF of 618, 976 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, 976 is 2.
Highest Common Factor of 618,976 is 2
Step 1: Since 976 > 618, we apply the division lemma to 976 and 618, to get
976 = 618 x 1 + 358
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 358 and 618, to get
618 = 358 x 1 + 260
Step 3: We consider the new divisor 358 and the new remainder 260, and apply the division lemma to get
358 = 260 x 1 + 98
We consider the new divisor 260 and the new remainder 98,and apply the division lemma to get
260 = 98 x 2 + 64
We consider the new divisor 98 and the new remainder 64,and apply the division lemma to get
98 = 64 x 1 + 34
We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get
64 = 34 x 1 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 618 and 976 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(98,64) = HCF(260,98) = HCF(358,260) = HCF(618,358) = HCF(976,618) .
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Frequently Asked Questions on HCF of 618, 976 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, 976?
Answer: HCF of 618, 976 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 976 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.