GCF of 7511/476, 1878/254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7511/476, 1878/254 i.e 1/60452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7511/476, 1878/254.
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 7511/476,1878/254?
Given fractions are 7511/476,1878/254
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 7511/476,1878/254, numerators are 7511,1878
Denominators are 476,254
The GCF of 7511,1878 is 1 .
LCM of 476,254 is 60452.
The greatest common factor of 7511/476,1878/254 = [GCF of 7511,1878]/[LCM of 476,254]= 1/60452
Therefore, the GCF of 7511/476,1878/254 is 1/60452.
To find the highest common factor of 7511,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 7511 are 1, 7, 29, 37, 203, 259, 1073, 7511
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 7511,1878 is 1.
Lets's calculate GCF of 7511,1878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7511,1878 By Matching Biggest Common Factor Method
Now, list down the factors of 7511
:1,7,29,37,203,259,1073,7511
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 7511,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 7511,1878 is 1.
Lets's calculate LCM of 476,254
| 2 | 476, 254 |
| 238, 127 |
∴ So the LCM of the given numbers is 2 x 238 x 127 = 60452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60452
Therefore, the GCF of Fractions 7511/476,1878/254 is 1/60452
Least Common Multiple of 476,254 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 476,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,254) x common factors =2 x 1 = 2
LCM(476,254) = ( 476 × 254 ) / 2
LCM(476,254) = 120904 / 2
LCM(476,254) = 60452
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FAQs on GCF of Fractions of 7511/476, 1878/254
1. What is the HCF of 7511,1878?
The HCF of 7511,1878 is 1
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 7511/476, 1878/254?
Answer: GCF of Numerators as per given numbers 7511/476, 1878/254 is
GCF of Numerators i.e. for 7511,1878 is 1
LCM of denominators i.e. for 476,254 is 60452.
Thus, GCF of Fractions is 1/60452.Finally, GCF of Fractions for 7511/476, 1878/254 is 1/60452.