Highest Common Factor of 4558, 6376 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 4558, 6376 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4558, 6376 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 4558, 6376 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 4558, 6376 is 2.
HCF(4558, 6376) = 2
HCF of 4558, 6376 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4558, 6376 is 2.
Highest Common Factor of 4558,6376 is 2
Step 1: Since 6376 > 4558, we apply the division lemma to 6376 and 4558, to get
6376 = 4558 x 1 + 1818
Step 2: Since the reminder 4558 ≠ 0, we apply division lemma to 1818 and 4558, to get
4558 = 1818 x 2 + 922
Step 3: We consider the new divisor 1818 and the new remainder 922, and apply the division lemma to get
1818 = 922 x 1 + 896
We consider the new divisor 922 and the new remainder 896,and apply the division lemma to get
922 = 896 x 1 + 26
We consider the new divisor 896 and the new remainder 26,and apply the division lemma to get
896 = 26 x 34 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4558 and 6376 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(896,26) = HCF(922,896) = HCF(1818,922) = HCF(4558,1818) = HCF(6376,4558) .
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Frequently Asked Questions on HCF of 4558, 6376 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 4558, 6376?
Answer: HCF of 4558, 6376 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4558, 6376 using Euclid's Algorithm?
Answer: For arbitrary numbers 4558, 6376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.