Highest Common Factor of 635, 915, 635 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 635, 915, 635 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 915, 635 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 635, 915, 635 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 635, 915, 635 is 5.
HCF(635, 915, 635) = 5
HCF of 635, 915, 635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 915, 635 is 5.
Highest Common Factor of 635,915,635 is 5
Step 1: Since 915 > 635, we apply the division lemma to 915 and 635, to get
915 = 635 x 1 + 280
Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 280 and 635, to get
635 = 280 x 2 + 75
Step 3: We consider the new divisor 280 and the new remainder 75, and apply the division lemma to get
280 = 75 x 3 + 55
We consider the new divisor 75 and the new remainder 55,and apply the division lemma to get
75 = 55 x 1 + 20
We consider the new divisor 55 and the new remainder 20,and apply the division lemma to get
55 = 20 x 2 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma 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 635 and 915 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(55,20) = HCF(75,55) = HCF(280,75) = HCF(635,280) = HCF(915,635) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 5, we apply the division lemma to 635 and 5, to get
635 = 5 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 635 is 5
Notice that 5 = HCF(635,5) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 635, 915, 635 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 635, 915, 635?
Answer: HCF of 635, 915, 635 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 915, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 915, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.