GCF of 5270/844, 7502/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5270/844, 7502/280 i.e 62/59080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5270/844, 7502/280.
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 5270/844,7502/280?
Given fractions are 5270/844,7502/280
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 5270/844,7502/280, numerators are 5270,7502
Denominators are 844,280
The GCF of 5270,7502 is 62 .
LCM of 844,280 is 59080.
The greatest common factor of 5270/844,7502/280 = [GCF of 5270,7502]/[LCM of 844,280]= 62/59080
Therefore, the GCF of 5270/844,7502/280 is 62/59080.
To find the highest common factor of 5270,7502, we have to find the factors of both numbers and list the highest common factor.
The factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270
The factors of 7502 are 1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751, 7502
The HCF of 5270,7502 is 62.
Lets's calculate GCF of 5270,7502
| 2 | 5270, 7502 |
| 31 | 2635, 3751 |
| 85, 121 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 5270,7502 By Matching Biggest Common Factor Method
Now, list down the factors of 5270
:1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270
Now, list down the factors of 7502
:1,2,11,22,31,62,121,242,341,682,3751,7502
Greatest Common Factor
We found the factors 5270,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 5270,7502 is 62.
Lets's calculate LCM of 844,280
| 2 | 844, 280 |
| 2 | 422, 140 |
| 211, 70 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 70 = 59080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/59080
Therefore, the GCF of Fractions 5270/844,7502/280 is 62/59080
Least Common Multiple of 844,280 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 844,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,280) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,280) x common factors =4 x 1 = 4
LCM(844,280) = ( 844 × 280 ) / 4
LCM(844,280) = 236320 / 4
LCM(844,280) = 59080
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FAQs on GCF of Fractions of 5270/844, 7502/280
1. What is the HCF of 5270,7502?
The HCF of 5270,7502 is 62
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 5270/844, 7502/280?
Answer: GCF of Numerators as per given numbers 5270/844, 7502/280 is
GCF of Numerators i.e. for 5270,7502 is 62
LCM of denominators i.e. for 844,280 is 59080.
Thus, GCF of Fractions is 62/59080.Finally, GCF of Fractions for 5270/844, 7502/280 is 62/59080.