Highest Common Factor of 910, 240, 632 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 910, 240, 632 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 240, 632 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 910, 240, 632 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 910, 240, 632 is 2.
HCF(910, 240, 632) = 2
HCF of 910, 240, 632 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 240, 632 is 2.
Highest Common Factor of 910,240,632 is 2
Step 1: Since 910 > 240, we apply the division lemma to 910 and 240, to get
910 = 240 x 3 + 190
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 190 and 240, to get
240 = 190 x 1 + 50
Step 3: We consider the new divisor 190 and the new remainder 50, and apply the division lemma to get
190 = 50 x 3 + 40
We consider the new divisor 50 and the new remainder 40,and apply the division lemma to get
50 = 40 x 1 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 910 and 240 is 10
Notice that 10 = HCF(40,10) = HCF(50,40) = HCF(190,50) = HCF(240,190) = HCF(910,240) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 10, we apply the division lemma to 632 and 10, to get
632 = 10 x 63 + 2
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 2 and 10, to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 10 and 632 is 2
Notice that 2 = HCF(10,2) = HCF(632,10) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 910, 240, 632 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 910, 240, 632?
Answer: HCF of 910, 240, 632 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 240, 632 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 240, 632 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.