Highest Common Factor of 248, 724, 450 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 248, 724, 450 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 248, 724, 450 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 248, 724, 450 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 248, 724, 450 is 2.
HCF(248, 724, 450) = 2
HCF of 248, 724, 450 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 248, 724, 450 is 2.
Highest Common Factor of 248,724,450 is 2
Step 1: Since 724 > 248, we apply the division lemma to 724 and 248, to get
724 = 248 x 2 + 228
Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 228 and 248, to get
248 = 228 x 1 + 20
Step 3: We consider the new divisor 228 and the new remainder 20, and apply the division lemma to get
228 = 20 x 11 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 248 and 724 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(228,20) = HCF(248,228) = HCF(724,248) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 450 > 4, we apply the division lemma to 450 and 4, to get
450 = 4 x 112 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 450 is 2
Notice that 2 = HCF(4,2) = HCF(450,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 248, 724, 450 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 248, 724, 450?
Answer: HCF of 248, 724, 450 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 248, 724, 450 using Euclid's Algorithm?
Answer: For arbitrary numbers 248, 724, 450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.