GCF of 3159/685, 3072/7930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3159/685, 3072/7930 i.e 3/1086410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3159/685, 3072/7930.
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 3159/685,3072/7930?
Given fractions are 3159/685,3072/7930
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 3159/685,3072/7930, numerators are 3159,3072
Denominators are 685,7930
The GCF of 3159,3072 is 3 .
LCM of 685,7930 is 1086410.
The greatest common factor of 3159/685,3072/7930 = [GCF of 3159,3072]/[LCM of 685,7930]= 3/1086410
Therefore, the GCF of 3159/685,3072/7930 is 3/1086410.
To find the highest common factor of 3159,3072, we have to find the factors of both numbers and list the highest common factor.
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072
The HCF of 3159,3072 is 3.
Lets's calculate GCF of 3159,3072
| 3 | 3159, 3072 |
| 1053, 1024 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3159,3072 By Matching Biggest Common Factor Method
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Now, list down the factors of 3072
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Greatest Common Factor
We found the factors 3159,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 3159,3072 is 3.
Lets's calculate LCM of 685,7930
| 5 | 685, 7930 |
| 137, 1586 |
∴ So the LCM of the given numbers is 5 x 137 x 1586 = 1086410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1086410
Therefore, the GCF of Fractions 3159/685,3072/7930 is 3/1086410
Least Common Multiple of 685,7930 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 685,7930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,7930) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,7930) x common factors =5 x 1 = 5
LCM(685,7930) = ( 685 × 7930 ) / 5
LCM(685,7930) = 5432050 / 5
LCM(685,7930) = 1086410
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FAQs on GCF of Fractions of 3159/685, 3072/7930
1. What is the HCF of 3159,3072?
The HCF of 3159,3072 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 3159/685, 3072/7930?
Answer: GCF of Numerators as per given numbers 3159/685, 3072/7930 is
GCF of Numerators i.e. for 3159,3072 is 3
LCM of denominators i.e. for 685,7930 is 1086410.
Thus, GCF of Fractions is 3/1086410.Finally, GCF of Fractions for 3159/685, 3072/7930 is 3/1086410.