Highest Common Factor of 7608, 4438 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 7608, 4438 i.e. 634 the largest integer that leaves a remainder zero for all numbers.
HCF of 7608, 4438 is 634 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 7608, 4438 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 7608, 4438 is 634.
HCF(7608, 4438) = 634
HCF of 7608, 4438 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7608, 4438 is 634.
Highest Common Factor of 7608,4438 is 634
Step 1: Since 7608 > 4438, we apply the division lemma to 7608 and 4438, to get
7608 = 4438 x 1 + 3170
Step 2: Since the reminder 4438 ≠ 0, we apply division lemma to 3170 and 4438, to get
4438 = 3170 x 1 + 1268
Step 3: We consider the new divisor 3170 and the new remainder 1268, and apply the division lemma to get
3170 = 1268 x 2 + 634
We consider the new divisor 1268 and the new remainder 634, and apply the division lemma to get
1268 = 634 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 634, the HCF of 7608 and 4438 is 634
Notice that 634 = HCF(1268,634) = HCF(3170,1268) = HCF(4438,3170) = HCF(7608,4438) .
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Frequently Asked Questions on HCF of 7608, 4438 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 7608, 4438?
Answer: HCF of 7608, 4438 is 634 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7608, 4438 using Euclid's Algorithm?
Answer: For arbitrary numbers 7608, 4438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.