Highest Common Factor of 6410, 4428 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 6410, 4428 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6410, 4428 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 6410, 4428 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 6410, 4428 is 2.
HCF(6410, 4428) = 2
HCF of 6410, 4428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6410, 4428 is 2.
Highest Common Factor of 6410,4428 is 2
Step 1: Since 6410 > 4428, we apply the division lemma to 6410 and 4428, to get
6410 = 4428 x 1 + 1982
Step 2: Since the reminder 4428 ≠ 0, we apply division lemma to 1982 and 4428, to get
4428 = 1982 x 2 + 464
Step 3: We consider the new divisor 1982 and the new remainder 464, and apply the division lemma to get
1982 = 464 x 4 + 126
We consider the new divisor 464 and the new remainder 126,and apply the division lemma to get
464 = 126 x 3 + 86
We consider the new divisor 126 and the new remainder 86,and apply the division lemma to get
126 = 86 x 1 + 40
We consider the new divisor 86 and the new remainder 40,and apply the division lemma to get
86 = 40 x 2 + 6
We consider the new divisor 40 and the new remainder 6,and apply the division lemma to get
40 = 6 x 6 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 6410 and 4428 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(40,6) = HCF(86,40) = HCF(126,86) = HCF(464,126) = HCF(1982,464) = HCF(4428,1982) = HCF(6410,4428) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6410, 4428 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 6410, 4428?
Answer: HCF of 6410, 4428 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6410, 4428 using Euclid's Algorithm?
Answer: For arbitrary numbers 6410, 4428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.