Highest Common Factor of 630, 902, 920 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 630, 902, 920 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 902, 920 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 630, 902, 920 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 630, 902, 920 is 2.
HCF(630, 902, 920) = 2
HCF of 630, 902, 920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 902, 920 is 2.
Highest Common Factor of 630,902,920 is 2
Step 1: Since 902 > 630, we apply the division lemma to 902 and 630, to get
902 = 630 x 1 + 272
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 272 and 630, to get
630 = 272 x 2 + 86
Step 3: We consider the new divisor 272 and the new remainder 86, and apply the division lemma to get
272 = 86 x 3 + 14
We consider the new divisor 86 and the new remainder 14,and apply the division lemma to get
86 = 14 x 6 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 630 and 902 is 2
Notice that 2 = HCF(14,2) = HCF(86,14) = HCF(272,86) = HCF(630,272) = HCF(902,630) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 2, we apply the division lemma to 920 and 2, to get
920 = 2 x 460 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 920 is 2
Notice that 2 = HCF(920,2) .
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Frequently Asked Questions on HCF of 630, 902, 920 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 630, 902, 920?
Answer: HCF of 630, 902, 920 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 902, 920 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 902, 920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
