Highest Common Factor of 250, 875, 31 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 250, 875, 31 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 250, 875, 31 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 250, 875, 31 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 250, 875, 31 is 1.
HCF(250, 875, 31) = 1
HCF of 250, 875, 31 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 250, 875, 31 is 1.
Highest Common Factor of 250,875,31 is 1
Step 1: Since 875 > 250, we apply the division lemma to 875 and 250, to get
875 = 250 x 3 + 125
Step 2: Since the reminder 250 ≠ 0, we apply division lemma to 125 and 250, to get
250 = 125 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 125, the HCF of 250 and 875 is 125
Notice that 125 = HCF(250,125) = HCF(875,250) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 125 > 31, we apply the division lemma to 125 and 31, to get
125 = 31 x 4 + 1
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 1 and 31, 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 125 and 31 is 1
Notice that 1 = HCF(31,1) = HCF(125,31) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 250, 875, 31 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 250, 875, 31?
Answer: HCF of 250, 875, 31 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 250, 875, 31 using Euclid's Algorithm?
Answer: For arbitrary numbers 250, 875, 31 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.