GCF of 2975/759, 1375/5970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2975/759, 1375/5970 i.e 25/1510410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2975/759, 1375/5970.
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 2975/759,1375/5970?
Given fractions are 2975/759,1375/5970
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 2975/759,1375/5970, numerators are 2975,1375
Denominators are 759,5970
The GCF of 2975,1375 is 25 .
LCM of 759,5970 is 1510410.
The greatest common factor of 2975/759,1375/5970 = [GCF of 2975,1375]/[LCM of 759,5970]= 25/1510410
Therefore, the GCF of 2975/759,1375/5970 is 25/1510410.
To find the highest common factor of 2975,1375, we have to find the factors of both numbers and list the highest common factor.
The factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375
The HCF of 2975,1375 is 25.
Lets's calculate GCF of 2975,1375
| 5 | 2975, 1375 |
| 5 | 595, 275 |
| 119, 55 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2975,1375 By Matching Biggest Common Factor Method
Now, list down the factors of 2975
:1,5,7,17,25,35,85,119,175,425,595,2975
Now, list down the factors of 1375
:1,5,11,25,55,125,275,1375
Greatest Common Factor
We found the factors 2975,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,1375 is 25.
Lets's calculate LCM of 759,5970
| 3 | 759, 5970 |
| 253, 1990 |
∴ So the LCM of the given numbers is 3 x 253 x 1990 = 1510410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1510410
Therefore, the GCF of Fractions 2975/759,1375/5970 is 25/1510410
Least Common Multiple of 759,5970 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 759,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,5970) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,5970) x common factors =3 x 1 = 3
LCM(759,5970) = ( 759 × 5970 ) / 3
LCM(759,5970) = 4531230 / 3
LCM(759,5970) = 1510410
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FAQs on GCF of Fractions of 2975/759, 1375/5970
1. What is the HCF of 2975,1375?
The HCF of 2975,1375 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 2975/759, 1375/5970?
Answer: GCF of Numerators as per given numbers 2975/759, 1375/5970 is
GCF of Numerators i.e. for 2975,1375 is 25
LCM of denominators i.e. for 759,5970 is 1510410.
Thus, GCF of Fractions is 25/1510410.Finally, GCF of Fractions for 2975/759, 1375/5970 is 25/1510410.