GCF of 2921/598, 7935/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2921/598, 7935/348 i.e 23/104052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2921/598, 7935/348.
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 2921/598,7935/348?
Given fractions are 2921/598,7935/348
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 2921/598,7935/348, numerators are 2921,7935
Denominators are 598,348
The GCF of 2921,7935 is 23 .
LCM of 598,348 is 104052.
The greatest common factor of 2921/598,7935/348 = [GCF of 2921,7935]/[LCM of 598,348]= 23/104052
Therefore, the GCF of 2921/598,7935/348 is 23/104052.
To find the highest common factor of 2921,7935, we have to find the factors of both numbers and list the highest common factor.
The factors of 2921 are 1, 23, 127, 2921
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The HCF of 2921,7935 is 23.
Lets's calculate GCF of 2921,7935
| 23 | 2921, 7935 |
| 127, 345 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 2921,7935 By Matching Biggest Common Factor Method
Now, list down the factors of 2921
:1,23,127,2921
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Greatest Common Factor
We found the factors 2921,7935 . The biggest common factor number is the GCF number.
So the greatest common factor 2921,7935 is 23.
Lets's calculate LCM of 598,348
| 2 | 598, 348 |
| 299, 174 |
∴ So the LCM of the given numbers is 2 x 299 x 174 = 104052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/104052
Therefore, the GCF of Fractions 2921/598,7935/348 is 23/104052
Least Common Multiple of 598,348 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 598,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,348) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,348) x common factors =2 x 1 = 2
LCM(598,348) = ( 598 × 348 ) / 2
LCM(598,348) = 208104 / 2
LCM(598,348) = 104052
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2921/598, 7935/348
1. What is the HCF of 2921,7935?
The HCF of 2921,7935 is 23
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 2921/598, 7935/348?
Answer: GCF of Numerators as per given numbers 2921/598, 7935/348 is
GCF of Numerators i.e. for 2921,7935 is 23
LCM of denominators i.e. for 598,348 is 104052.
Thus, GCF of Fractions is 23/104052.Finally, GCF of Fractions for 2921/598, 7935/348 is 23/104052.