GCF of 1314/732, 7575/5020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1314/732, 7575/5020 i.e 3/918660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1314/732, 7575/5020.
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 1314/732,7575/5020?
Given fractions are 1314/732,7575/5020
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 1314/732,7575/5020, numerators are 1314,7575
Denominators are 732,5020
The GCF of 1314,7575 is 3 .
LCM of 732,5020 is 918660.
The greatest common factor of 1314/732,7575/5020 = [GCF of 1314,7575]/[LCM of 732,5020]= 3/918660
Therefore, the GCF of 1314/732,7575/5020 is 3/918660.
To find the highest common factor of 1314,7575, we have to find the factors of both numbers and list the highest common factor.
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The factors of 7575 are 1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525, 7575
The HCF of 1314,7575 is 3.
Lets's calculate GCF of 1314,7575
| 3 | 1314, 7575 |
| 438, 2525 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1314,7575 By Matching Biggest Common Factor Method
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Now, list down the factors of 7575
:1,3,5,15,25,75,101,303,505,1515,2525,7575
Greatest Common Factor
We found the factors 1314,7575 . The biggest common factor number is the GCF number.
So the greatest common factor 1314,7575 is 3.
Lets's calculate LCM of 732,5020
| 2 | 732, 5020 |
| 2 | 366, 2510 |
| 183, 1255 |
∴ So the LCM of the given numbers is 2 x 2 x 183 x 1255 = 918660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/918660
Therefore, the GCF of Fractions 1314/732,7575/5020 is 3/918660
Least Common Multiple of 732,5020 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 732,5020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,5020) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(732,5020) x common factors =4 x 1 = 4
LCM(732,5020) = ( 732 × 5020 ) / 4
LCM(732,5020) = 3674640 / 4
LCM(732,5020) = 918660
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FAQs on GCF of Fractions of 1314/732, 7575/5020
1. What is the HCF of 1314,7575?
The HCF of 1314,7575 is 3
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 1314/732, 7575/5020?
Answer: GCF of Numerators as per given numbers 1314/732, 7575/5020 is
GCF of Numerators i.e. for 1314,7575 is 3
LCM of denominators i.e. for 732,5020 is 918660.
Thus, GCF of Fractions is 3/918660.Finally, GCF of Fractions for 1314/732, 7575/5020 is 3/918660.