Highest Common Factor of 630, 885, 290 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, 885, 290 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 885, 290 is 5 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, 885, 290 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, 885, 290 is 5.
HCF(630, 885, 290) = 5
HCF of 630, 885, 290 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, 885, 290 is 5.
Highest Common Factor of 630,885,290 is 5
Step 1: Since 885 > 630, we apply the division lemma to 885 and 630, to get
885 = 630 x 1 + 255
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 255 and 630, to get
630 = 255 x 2 + 120
Step 3: We consider the new divisor 255 and the new remainder 120, and apply the division lemma to get
255 = 120 x 2 + 15
We consider the new divisor 120 and the new remainder 15, and apply the division lemma to get
120 = 15 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 630 and 885 is 15
Notice that 15 = HCF(120,15) = HCF(255,120) = HCF(630,255) = HCF(885,630) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 290 > 15, we apply the division lemma to 290 and 15, to get
290 = 15 x 19 + 5
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 5 and 15, to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 15 and 290 is 5
Notice that 5 = HCF(15,5) = HCF(290,15) .
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Frequently Asked Questions on HCF of 630, 885, 290 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, 885, 290?
Answer: HCF of 630, 885, 290 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 885, 290 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 885, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.