Highest Common Factor of 954, 614, 630 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 954, 614, 630 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 614, 630 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 954, 614, 630 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 954, 614, 630 is 2.
HCF(954, 614, 630) = 2
HCF of 954, 614, 630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 614, 630 is 2.
Highest Common Factor of 954,614,630 is 2
Step 1: Since 954 > 614, we apply the division lemma to 954 and 614, to get
954 = 614 x 1 + 340
Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 340 and 614, to get
614 = 340 x 1 + 274
Step 3: We consider the new divisor 340 and the new remainder 274, and apply the division lemma to get
340 = 274 x 1 + 66
We consider the new divisor 274 and the new remainder 66,and apply the division lemma to get
274 = 66 x 4 + 10
We consider the new divisor 66 and the new remainder 10,and apply the division lemma to get
66 = 10 x 6 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 954 and 614 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(66,10) = HCF(274,66) = HCF(340,274) = HCF(614,340) = HCF(954,614) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 630 > 2, we apply the division lemma to 630 and 2, to get
630 = 2 x 315 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 630 is 2
Notice that 2 = HCF(630,2) .
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Frequently Asked Questions on HCF of 954, 614, 630 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 954, 614, 630?
Answer: HCF of 954, 614, 630 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 614, 630 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 614, 630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
