GCF of 7072/244, 8489/7502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/244, 8489/7502 i.e 13/915244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/244, 8489/7502.
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 7072/244,8489/7502?
Given fractions are 7072/244,8489/7502
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 7072/244,8489/7502, numerators are 7072,8489
Denominators are 244,7502
The GCF of 7072,8489 is 13 .
LCM of 244,7502 is 915244.
The greatest common factor of 7072/244,8489/7502 = [GCF of 7072,8489]/[LCM of 244,7502]= 13/915244
Therefore, the GCF of 7072/244,8489/7502 is 13/915244.
To find the highest common factor of 7072,8489, we have to find the factors of both numbers and list the highest common factor.
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The factors of 8489 are 1, 13, 653, 8489
The HCF of 7072,8489 is 13.
Lets's calculate GCF of 7072,8489
| 13 | 7072, 8489 |
| 544, 653 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7072,8489 By Matching Biggest Common Factor Method
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Now, list down the factors of 8489
:1,13,653,8489
Greatest Common Factor
We found the factors 7072,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,8489 is 13.
Lets's calculate LCM of 244,7502
| 2 | 244, 7502 |
| 122, 3751 |
∴ So the LCM of the given numbers is 2 x 122 x 3751 = 915244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/915244
Therefore, the GCF of Fractions 7072/244,8489/7502 is 13/915244
Least Common Multiple of 244,7502 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 244,7502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,7502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(244,7502) x common factors =2 x 1 = 2
LCM(244,7502) = ( 244 × 7502 ) / 2
LCM(244,7502) = 1830488 / 2
LCM(244,7502) = 915244
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FAQs on GCF of Fractions of 7072/244, 8489/7502
1. What is the HCF of 7072,8489?
The HCF of 7072,8489 is 13
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 7072/244, 8489/7502?
Answer: GCF of Numerators as per given numbers 7072/244, 8489/7502 is
GCF of Numerators i.e. for 7072,8489 is 13
LCM of denominators i.e. for 244,7502 is 915244.
Thus, GCF of Fractions is 13/915244.Finally, GCF of Fractions for 7072/244, 8489/7502 is 13/915244.