GCF of 5140/900, 7718/6321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5140/900, 7718/6321 i.e 2/1896300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5140/900, 7718/6321.
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 5140/900,7718/6321?
Given fractions are 5140/900,7718/6321
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 5140/900,7718/6321, numerators are 5140,7718
Denominators are 900,6321
The GCF of 5140,7718 is 2 .
LCM of 900,6321 is 1896300.
The greatest common factor of 5140/900,7718/6321 = [GCF of 5140,7718]/[LCM of 900,6321]= 2/1896300
Therefore, the GCF of 5140/900,7718/6321 is 2/1896300.
To find the highest common factor of 5140,7718, we have to find the factors of both numbers and list the highest common factor.
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The HCF of 5140,7718 is 2.
Lets's calculate GCF of 5140,7718
| 2 | 5140, 7718 |
| 2570, 3859 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5140,7718 By Matching Biggest Common Factor Method
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Greatest Common Factor
We found the factors 5140,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 5140,7718 is 2.
Lets's calculate LCM of 900,6321
| 3 | 900, 6321 |
| 300, 2107 |
∴ So the LCM of the given numbers is 3 x 300 x 2107 = 1896300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1896300
Therefore, the GCF of Fractions 5140/900,7718/6321 is 2/1896300
Least Common Multiple of 900,6321 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 900,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,6321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(900,6321) x common factors =3 x 1 = 3
LCM(900,6321) = ( 900 × 6321 ) / 3
LCM(900,6321) = 5688900 / 3
LCM(900,6321) = 1896300
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FAQs on GCF of Fractions of 5140/900, 7718/6321
1. What is the HCF of 5140,7718?
The HCF of 5140,7718 is 2
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 5140/900, 7718/6321?
Answer: GCF of Numerators as per given numbers 5140/900, 7718/6321 is
GCF of Numerators i.e. for 5140,7718 is 2
LCM of denominators i.e. for 900,6321 is 1896300.
Thus, GCF of Fractions is 2/1896300.Finally, GCF of Fractions for 5140/900, 7718/6321 is 2/1896300.