GCF of 7048/557, 9314/3528
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/557, 9314/3528 i.e 2/1965096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/557, 9314/3528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7048/557,9314/3528?
Given fractions are 7048/557,9314/3528
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7048/557,9314/3528, numerators are 7048,9314
Denominators are 557,3528
The GCF of 7048,9314 is 2 .
LCM of 557,3528 is 1965096.
The greatest common factor of 7048/557,9314/3528 = [GCF of 7048,9314]/[LCM of 557,3528]= 2/1965096
Therefore, the GCF of 7048/557,9314/3528 is 2/1965096.
To find the highest common factor of 7048,9314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 9314 are 1, 2, 4657, 9314
The HCF of 7048,9314 is 2.
Lets's calculate GCF of 7048,9314
| 2 | 7048, 9314 |
| 3524, 4657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7048,9314 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 9314
:1,2,4657,9314
Greatest Common Factor
We found the factors 7048,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,9314 is 2.
Lets's calculate LCM of 557,3528
Given numbers has no common factors except 1. So, there LCM is their product i.e 1965096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1965096
Therefore, the GCF of Fractions 7048/557,9314/3528 is 2/1965096
Least Common Multiple of 557,3528 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 557,3528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,3528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,3528) x common factors =1 x 1 = 1
LCM(557,3528) = ( 557 × 3528 ) / 1
LCM(557,3528) = 1965096 / 1
LCM(557,3528) = 1965096
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FAQs on GCF of Fractions of 7048/557, 9314/3528
1. What is the HCF of 7048,9314?
The HCF of 7048,9314 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7048/557, 9314/3528?
Answer: GCF of Numerators as per given numbers 7048/557, 9314/3528 is
GCF of Numerators i.e. for 7048,9314 is 2
LCM of denominators i.e. for 557,3528 is 1965096.
Thus, GCF of Fractions is 2/1965096.Finally, GCF of Fractions for 7048/557, 9314/3528 is 2/1965096.