GCF of 7925/245, 3296/7735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7925/245, 3296/7735 i.e 1/54145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7925/245, 3296/7735.
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 7925/245,3296/7735?
Given fractions are 7925/245,3296/7735
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 7925/245,3296/7735, numerators are 7925,3296
Denominators are 245,7735
The GCF of 7925,3296 is 1 .
LCM of 245,7735 is 54145.
The greatest common factor of 7925/245,3296/7735 = [GCF of 7925,3296]/[LCM of 245,7735]= 1/54145
Therefore, the GCF of 7925/245,3296/7735 is 1/54145.
To find the highest common factor of 7925,3296, we have to find the factors of both numbers and list the highest common factor.
The factors of 7925 are 1, 5, 25, 317, 1585, 7925
The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296
The HCF of 7925,3296 is 1.
Lets's calculate GCF of 7925,3296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7925,3296 By Matching Biggest Common Factor Method
Now, list down the factors of 7925
:1,5,25,317,1585,7925
Now, list down the factors of 3296
:1,2,4,8,16,32,103,206,412,824,1648,3296
Greatest Common Factor
We found the factors 7925,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 7925,3296 is 1.
Lets's calculate LCM of 245,7735
| 5 | 245, 7735 |
| 7 | 49, 1547 |
| 7, 221 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 221 = 54145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54145
Therefore, the GCF of Fractions 7925/245,3296/7735 is 1/54145
Least Common Multiple of 245,7735 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 245,7735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,7735) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(245,7735) x common factors =35 x 1 = 35
LCM(245,7735) = ( 245 × 7735 ) / 35
LCM(245,7735) = 1895075 / 35
LCM(245,7735) = 54145
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FAQs on GCF of Fractions of 7925/245, 3296/7735
1. What is the HCF of 7925,3296?
The HCF of 7925,3296 is 1
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 7925/245, 3296/7735?
Answer: GCF of Numerators as per given numbers 7925/245, 3296/7735 is
GCF of Numerators i.e. for 7925,3296 is 1
LCM of denominators i.e. for 245,7735 is 54145.
Thus, GCF of Fractions is 1/54145.Finally, GCF of Fractions for 7925/245, 3296/7735 is 1/54145.