Highest Common Factor of 7408, 4443 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 7408, 4443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7408, 4443 is 1 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 7408, 4443 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 7408, 4443 is 1.
HCF(7408, 4443) = 1
HCF of 7408, 4443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7408, 4443 is 1.
Highest Common Factor of 7408,4443 is 1
Step 1: Since 7408 > 4443, we apply the division lemma to 7408 and 4443, to get
7408 = 4443 x 1 + 2965
Step 2: Since the reminder 4443 ≠ 0, we apply division lemma to 2965 and 4443, to get
4443 = 2965 x 1 + 1478
Step 3: We consider the new divisor 2965 and the new remainder 1478, and apply the division lemma to get
2965 = 1478 x 2 + 9
We consider the new divisor 1478 and the new remainder 9,and apply the division lemma to get
1478 = 9 x 164 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7408 and 4443 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(1478,9) = HCF(2965,1478) = HCF(4443,2965) = HCF(7408,4443) .
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Frequently Asked Questions on HCF of 7408, 4443 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 7408, 4443?
Answer: HCF of 7408, 4443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7408, 4443 using Euclid's Algorithm?
Answer: For arbitrary numbers 7408, 4443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.