Use our free GCF of Fractions Calculator tool to compute the GCF of 7735/254, 6125/5050 i.e 35/641350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7735/254, 6125/5050.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7735/254,6125/5050
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 7735/254,6125/5050, numerators are 7735,6125
Denominators are 254,5050
The GCF of 7735,6125 is 35 .
LCM of 254,5050 is 641350.
The greatest common factor of 7735/254,6125/5050 = [GCF of 7735,6125]/[LCM of 254,5050]= 35/641350
Therefore, the GCF of 7735/254,6125/5050 is 35/641350.
To find the highest common factor of 7735,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 7735,6125 is 35.
Lets's calculate GCF of 7735,6125
5 | 7735, 6125 |
7 | 1547, 1225 |
221, 175 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Now, list down the factors of 7735
:1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 7735,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 7735,6125 is 35.
Lets's calculate LCM of 254,5050
2 | 254, 5050 |
127, 2525 |
∴ So the LCM of the given numbers is 2 x 127 x 2525 = 641350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/641350
Therefore, the GCF of Fractions 7735/254,6125/5050 is 35/641350
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 254,5050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,5050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,5050) x common factors =2 x 1 = 2
LCM(254,5050) = ( 254 × 5050 ) / 2
LCM(254,5050) = 1282700 / 2
LCM(254,5050) = 641350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7735,6125?
The HCF of 7735,6125 is 35
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 7735/254, 6125/5050?
Answer: GCF of Numerators as per given numbers 7735/254, 6125/5050 is
GCF of Numerators i.e. for 7735,6125 is 35
LCM of denominators i.e. for 254,5050 is 641350.
Thus, GCF of Fractions is 35/641350.Finally, GCF of Fractions for 7735/254, 6125/5050 is 35/641350.