GCF of 7675/434, 2705/7798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7675/434, 2705/7798 i.e 5/241738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/434, 2705/7798.
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 7675/434,2705/7798?
Given fractions are 7675/434,2705/7798
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 7675/434,2705/7798, numerators are 7675,2705
Denominators are 434,7798
The GCF of 7675,2705 is 5 .
LCM of 434,7798 is 241738.
The greatest common factor of 7675/434,2705/7798 = [GCF of 7675,2705]/[LCM of 434,7798]= 5/241738
Therefore, the GCF of 7675/434,2705/7798 is 5/241738.
To find the highest common factor of 7675,2705, we have to find the factors of both numbers and list the highest common factor.
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The factors of 2705 are 1, 5, 541, 2705
The HCF of 7675,2705 is 5.
Lets's calculate GCF of 7675,2705
| 5 | 7675, 2705 |
| 1535, 541 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7675,2705 By Matching Biggest Common Factor Method
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Now, list down the factors of 2705
:1,5,541,2705
Greatest Common Factor
We found the factors 7675,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,2705 is 5.
Lets's calculate LCM of 434,7798
| 2 | 434, 7798 |
| 7 | 217, 3899 |
| 31, 557 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 557 = 241738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/241738
Therefore, the GCF of Fractions 7675/434,2705/7798 is 5/241738
Least Common Multiple of 434,7798 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 434,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,7798) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(434,7798) x common factors =14 x 1 = 14
LCM(434,7798) = ( 434 × 7798 ) / 14
LCM(434,7798) = 3384332 / 14
LCM(434,7798) = 241738
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7675/434, 2705/7798
1. What is the HCF of 7675,2705?
The HCF of 7675,2705 is 5
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 7675/434, 2705/7798?
Answer: GCF of Numerators as per given numbers 7675/434, 2705/7798 is
GCF of Numerators i.e. for 7675,2705 is 5
LCM of denominators i.e. for 434,7798 is 241738.
Thus, GCF of Fractions is 5/241738.Finally, GCF of Fractions for 7675/434, 2705/7798 is 5/241738.