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 915, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 915, 631 is 1 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 915, 631 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 915, 631 is 1.
HCF(915, 631) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 915, 631 is 1.
Step 1: Since 915 > 631, we apply the division lemma to 915 and 631, to get
915 = 631 x 1 + 284
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 284 and 631, to get
631 = 284 x 2 + 63
Step 3: We consider the new divisor 284 and the new remainder 63, and apply the division lemma to get
284 = 63 x 4 + 32
We consider the new divisor 63 and the new remainder 32,and apply the division lemma to get
63 = 32 x 1 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 915 and 631 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(63,32) = HCF(284,63) = HCF(631,284) = HCF(915,631) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 915, 631?
Answer: HCF of 915, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 915, 631 using Euclid's Algorithm?
Answer: For arbitrary numbers 915, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.