Highest Common Factor of 6458, 4240 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 6458, 4240 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6458, 4240 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 6458, 4240 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 6458, 4240 is 2.
HCF(6458, 4240) = 2
HCF of 6458, 4240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6458, 4240 is 2.
Highest Common Factor of 6458,4240 is 2
Step 1: Since 6458 > 4240, we apply the division lemma to 6458 and 4240, to get
6458 = 4240 x 1 + 2218
Step 2: Since the reminder 4240 ≠ 0, we apply division lemma to 2218 and 4240, to get
4240 = 2218 x 1 + 2022
Step 3: We consider the new divisor 2218 and the new remainder 2022, and apply the division lemma to get
2218 = 2022 x 1 + 196
We consider the new divisor 2022 and the new remainder 196,and apply the division lemma to get
2022 = 196 x 10 + 62
We consider the new divisor 196 and the new remainder 62,and apply the division lemma to get
196 = 62 x 3 + 10
We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get
62 = 10 x 6 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma 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 6458 and 4240 is 2
Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(196,62) = HCF(2022,196) = HCF(2218,2022) = HCF(4240,2218) = HCF(6458,4240) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6458, 4240 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 6458, 4240?
Answer: HCF of 6458, 4240 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6458, 4240 using Euclid's Algorithm?
Answer: For arbitrary numbers 6458, 4240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.