Highest Common Factor of 7410, 4458 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 7410, 4458 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7410, 4458 is 6 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 7410, 4458 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 7410, 4458 is 6.
HCF(7410, 4458) = 6
HCF of 7410, 4458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7410, 4458 is 6.
Highest Common Factor of 7410,4458 is 6
Step 1: Since 7410 > 4458, we apply the division lemma to 7410 and 4458, to get
7410 = 4458 x 1 + 2952
Step 2: Since the reminder 4458 ≠ 0, we apply division lemma to 2952 and 4458, to get
4458 = 2952 x 1 + 1506
Step 3: We consider the new divisor 2952 and the new remainder 1506, and apply the division lemma to get
2952 = 1506 x 1 + 1446
We consider the new divisor 1506 and the new remainder 1446,and apply the division lemma to get
1506 = 1446 x 1 + 60
We consider the new divisor 1446 and the new remainder 60,and apply the division lemma to get
1446 = 60 x 24 + 6
We consider the new divisor 60 and the new remainder 6,and apply the division lemma to get
60 = 6 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7410 and 4458 is 6
Notice that 6 = HCF(60,6) = HCF(1446,60) = HCF(1506,1446) = HCF(2952,1506) = HCF(4458,2952) = HCF(7410,4458) .
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Frequently Asked Questions on HCF of 7410, 4458 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 7410, 4458?
Answer: HCF of 7410, 4458 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7410, 4458 using Euclid's Algorithm?
Answer: For arbitrary numbers 7410, 4458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.