Highest Common Factor of 8448, 7392 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 8448, 7392 i.e. 1056 the largest integer that leaves a remainder zero for all numbers.
HCF of 8448, 7392 is 1056 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 8448, 7392 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 8448, 7392 is 1056.
HCF(8448, 7392) = 1056
HCF of 8448, 7392 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8448, 7392 is 1056.
Highest Common Factor of 8448,7392 is 1056
Step 1: Since 8448 > 7392, we apply the division lemma to 8448 and 7392, to get
8448 = 7392 x 1 + 1056
Step 2: Since the reminder 7392 ≠ 0, we apply division lemma to 1056 and 7392, to get
7392 = 1056 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1056, the HCF of 8448 and 7392 is 1056
Notice that 1056 = HCF(7392,1056) = HCF(8448,7392) .
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Frequently Asked Questions on HCF of 8448, 7392 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 8448, 7392?
Answer: HCF of 8448, 7392 is 1056 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8448, 7392 using Euclid's Algorithm?
Answer: For arbitrary numbers 8448, 7392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.