GCF of 7975/450, 6950/2475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7975/450, 6950/2475 i.e 25/4950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7975/450, 6950/2475.
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 7975/450,6950/2475?
Given fractions are 7975/450,6950/2475
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 7975/450,6950/2475, numerators are 7975,6950
Denominators are 450,2475
The GCF of 7975,6950 is 25 .
LCM of 450,2475 is 4950.
The greatest common factor of 7975/450,6950/2475 = [GCF of 7975,6950]/[LCM of 450,2475]= 25/4950
Therefore, the GCF of 7975/450,6950/2475 is 25/4950.
To find the highest common factor of 7975,6950, we have to find the factors of both numbers and list the highest common factor.
The factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975
The factors of 6950 are 1, 2, 5, 10, 25, 50, 139, 278, 695, 1390, 3475, 6950
The HCF of 7975,6950 is 25.
Lets's calculate GCF of 7975,6950
| 5 | 7975, 6950 |
| 5 | 1595, 1390 |
| 319, 278 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7975,6950 By Matching Biggest Common Factor Method
Now, list down the factors of 7975
:1,5,11,25,29,55,145,275,319,725,1595,7975
Now, list down the factors of 6950
:1,2,5,10,25,50,139,278,695,1390,3475,6950
Greatest Common Factor
We found the factors 7975,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 7975,6950 is 25.
Lets's calculate LCM of 450,2475
| 3 | 450, 2475 |
| 3 | 150, 825 |
| 5 | 50, 275 |
| 5 | 10, 55 |
| 2, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 2 x 11 = 4950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4950
Therefore, the GCF of Fractions 7975/450,6950/2475 is 25/4950
Least Common Multiple of 450,2475 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 450,2475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,2475) = 225
common factors(in case of two or more numbers have common factors) = 1
GCF(450,2475) x common factors =225 x 1 = 225
LCM(450,2475) = ( 450 × 2475 ) / 225
LCM(450,2475) = 1113750 / 225
LCM(450,2475) = 4950
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FAQs on GCF of Fractions of 7975/450, 6950/2475
1. What is the HCF of 7975,6950?
The HCF of 7975,6950 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 7975/450, 6950/2475?
Answer: GCF of Numerators as per given numbers 7975/450, 6950/2475 is
GCF of Numerators i.e. for 7975,6950 is 25
LCM of denominators i.e. for 450,2475 is 4950.
Thus, GCF of Fractions is 25/4950.Finally, GCF of Fractions for 7975/450, 6950/2475 is 25/4950.