GCF of 378/315, 929/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 378/315, 929/310 i.e 1/19530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 378/315, 929/310.
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 378/315,929/310?
Given fractions are 378/315,929/310
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 378/315,929/310, numerators are 378,929
Denominators are 315,310
The GCF of 378,929 is 1 .
LCM of 315,310 is 19530.
The greatest common factor of 378/315,929/310 = [GCF of 378,929]/[LCM of 315,310]= 1/19530
Therefore, the GCF of 378/315,929/310 is 1/19530.
To find the highest common factor of 378,929, we have to find the factors of both numbers and list the highest common factor.
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The factors of 929 are 1, 929
The HCF of 378,929 is 1.
Lets's calculate GCF of 378,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 378,929 By Matching Biggest Common Factor Method
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 378,929 . The biggest common factor number is the GCF number.
So the greatest common factor 378,929 is 1.
Lets's calculate LCM of 315,310
| 5 | 315, 310 |
| 63, 62 |
∴ So the LCM of the given numbers is 5 x 63 x 62 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530
Therefore, the GCF of Fractions 378/315,929/310 is 1/19530
Least Common Multiple of 315,310 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 315,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,310) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(315,310) x common factors =5 x 1 = 5
LCM(315,310) = ( 315 × 310 ) / 5
LCM(315,310) = 97650 / 5
LCM(315,310) = 19530
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FAQs on GCF of Fractions of 378/315, 929/310
1. What is the HCF of 378,929?
The HCF of 378,929 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 378/315, 929/310?
Answer: GCF of Numerators as per given numbers 378/315, 929/310 is
GCF of Numerators i.e. for 378,929 is 1
LCM of denominators i.e. for 315,310 is 19530.
Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 378/315, 929/310 is 1/19530.