GCF of 2872/548, 3494/9152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2872/548, 3494/9152 i.e 2/1253824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2872/548, 3494/9152.
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 2872/548,3494/9152?
Given fractions are 2872/548,3494/9152
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 2872/548,3494/9152, numerators are 2872,3494
Denominators are 548,9152
The GCF of 2872,3494 is 2 .
LCM of 548,9152 is 1253824.
The greatest common factor of 2872/548,3494/9152 = [GCF of 2872,3494]/[LCM of 548,9152]= 2/1253824
Therefore, the GCF of 2872/548,3494/9152 is 2/1253824.
To find the highest common factor of 2872,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 2872,3494 is 2.
Lets's calculate GCF of 2872,3494
| 2 | 2872, 3494 |
| 1436, 1747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2872,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 2872
:1,2,4,8,359,718,1436,2872
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 2872,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 2872,3494 is 2.
Lets's calculate LCM of 548,9152
| 2 | 548, 9152 |
| 2 | 274, 4576 |
| 137, 2288 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 2288 = 1253824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1253824
Therefore, the GCF of Fractions 2872/548,3494/9152 is 2/1253824
Least Common Multiple of 548,9152 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 548,9152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,9152) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,9152) x common factors =4 x 1 = 4
LCM(548,9152) = ( 548 × 9152 ) / 4
LCM(548,9152) = 5015296 / 4
LCM(548,9152) = 1253824
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FAQs on GCF of Fractions of 2872/548, 3494/9152
1. What is the HCF of 2872,3494?
The HCF of 2872,3494 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 2872/548, 3494/9152?
Answer: GCF of Numerators as per given numbers 2872/548, 3494/9152 is
GCF of Numerators i.e. for 2872,3494 is 2
LCM of denominators i.e. for 548,9152 is 1253824.
Thus, GCF of Fractions is 2/1253824.Finally, GCF of Fractions for 2872/548, 3494/9152 is 2/1253824.