GCF of 7136/448, 7538/5468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7136/448, 7538/5468 i.e 2/612416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7136/448, 7538/5468.
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 7136/448,7538/5468?
Given fractions are 7136/448,7538/5468
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 7136/448,7538/5468, numerators are 7136,7538
Denominators are 448,5468
The GCF of 7136,7538 is 2 .
LCM of 448,5468 is 612416.
The greatest common factor of 7136/448,7538/5468 = [GCF of 7136,7538]/[LCM of 448,5468]= 2/612416
Therefore, the GCF of 7136/448,7538/5468 is 2/612416.
To find the highest common factor of 7136,7538, we have to find the factors of both numbers and list the highest common factor.
The factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136
The factors of 7538 are 1, 2, 3769, 7538
The HCF of 7136,7538 is 2.
Lets's calculate GCF of 7136,7538
| 2 | 7136, 7538 |
| 3568, 3769 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7136,7538 By Matching Biggest Common Factor Method
Now, list down the factors of 7136
:1,2,4,8,16,32,223,446,892,1784,3568,7136
Now, list down the factors of 7538
:1,2,3769,7538
Greatest Common Factor
We found the factors 7136,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 7136,7538 is 2.
Lets's calculate LCM of 448,5468
| 2 | 448, 5468 |
| 2 | 224, 2734 |
| 112, 1367 |
∴ So the LCM of the given numbers is 2 x 2 x 112 x 1367 = 612416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/612416
Therefore, the GCF of Fractions 7136/448,7538/5468 is 2/612416
Least Common Multiple of 448,5468 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 448,5468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,5468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(448,5468) x common factors =4 x 1 = 4
LCM(448,5468) = ( 448 × 5468 ) / 4
LCM(448,5468) = 2449664 / 4
LCM(448,5468) = 612416
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7136/448, 7538/5468
1. What is the HCF of 7136,7538?
The HCF of 7136,7538 is 2
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 7136/448, 7538/5468?
Answer: GCF of Numerators as per given numbers 7136/448, 7538/5468 is
GCF of Numerators i.e. for 7136,7538 is 2
LCM of denominators i.e. for 448,5468 is 612416.
Thus, GCF of Fractions is 2/612416.Finally, GCF of Fractions for 7136/448, 7538/5468 is 2/612416.