GCF of 838/72, 307/1310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 838/72, 307/1310 i.e 1/47160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/72, 307/1310.
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 838/72,307/1310?
Given fractions are 838/72,307/1310
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 838/72,307/1310, numerators are 838,307
Denominators are 72,1310
The GCF of 838,307 is 1 .
LCM of 72,1310 is 47160.
The greatest common factor of 838/72,307/1310 = [GCF of 838,307]/[LCM of 72,1310]= 1/47160
Therefore, the GCF of 838/72,307/1310 is 1/47160.
To find the highest common factor of 838,307, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 307 are 1, 307
The HCF of 838,307 is 1.
Lets's calculate GCF of 838,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 838,307 By Matching Biggest Common Factor Method
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 307
:1,307
Greatest Common Factor
We found the factors 838,307 . The biggest common factor number is the GCF number.
So the greatest common factor 838,307 is 1.
Lets's calculate LCM of 72,1310
| 2 | 72, 1310 |
| 36, 655 |
∴ So the LCM of the given numbers is 2 x 36 x 655 = 47160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47160
Therefore, the GCF of Fractions 838/72,307/1310 is 1/47160
Least Common Multiple of 72,1310 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 72,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,1310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,1310) x common factors =2 x 1 = 2
LCM(72,1310) = ( 72 × 1310 ) / 2
LCM(72,1310) = 94320 / 2
LCM(72,1310) = 47160
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FAQs on GCF of Fractions of 838/72, 307/1310
1. What is the HCF of 838,307?
The HCF of 838,307 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 838/72, 307/1310?
Answer: GCF of Numerators as per given numbers 838/72, 307/1310 is
GCF of Numerators i.e. for 838,307 is 1
LCM of denominators i.e. for 72,1310 is 47160.
Thus, GCF of Fractions is 1/47160.Finally, GCF of Fractions for 838/72, 307/1310 is 1/47160.