GCF of 2475/574, 9050/7370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2475/574, 9050/7370 i.e 25/2115190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2475/574, 9050/7370.
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 2475/574,9050/7370?
Given fractions are 2475/574,9050/7370
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 2475/574,9050/7370, numerators are 2475,9050
Denominators are 574,7370
The GCF of 2475,9050 is 25 .
LCM of 574,7370 is 2115190.
The greatest common factor of 2475/574,9050/7370 = [GCF of 2475,9050]/[LCM of 574,7370]= 25/2115190
Therefore, the GCF of 2475/574,9050/7370 is 25/2115190.
To find the highest common factor of 2475,9050, we have to find the factors of both numbers and list the highest common factor.
The factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050
The HCF of 2475,9050 is 25.
Lets's calculate GCF of 2475,9050
| 5 | 2475, 9050 |
| 5 | 495, 1810 |
| 99, 362 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2475,9050 By Matching Biggest Common Factor Method
Now, list down the factors of 2475
:1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Now, list down the factors of 9050
:1,2,5,10,25,50,181,362,905,1810,4525,9050
Greatest Common Factor
We found the factors 2475,9050 . The biggest common factor number is the GCF number.
So the greatest common factor 2475,9050 is 25.
Lets's calculate LCM of 574,7370
| 2 | 574, 7370 |
| 287, 3685 |
∴ So the LCM of the given numbers is 2 x 287 x 3685 = 2115190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2115190
Therefore, the GCF of Fractions 2475/574,9050/7370 is 25/2115190
Least Common Multiple of 574,7370 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 574,7370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7370) x common factors =2 x 1 = 2
LCM(574,7370) = ( 574 × 7370 ) / 2
LCM(574,7370) = 4230380 / 2
LCM(574,7370) = 2115190
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FAQs on GCF of Fractions of 2475/574, 9050/7370
1. What is the HCF of 2475,9050?
The HCF of 2475,9050 is 25
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 2475/574, 9050/7370?
Answer: GCF of Numerators as per given numbers 2475/574, 9050/7370 is
GCF of Numerators i.e. for 2475,9050 is 25
LCM of denominators i.e. for 574,7370 is 2115190.
Thus, GCF of Fractions is 25/2115190.Finally, GCF of Fractions for 2475/574, 9050/7370 is 25/2115190.