GCF of 1308/476, 2696/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1308/476, 2696/815 i.e 4/387940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1308/476, 2696/815.
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 1308/476,2696/815?
Given fractions are 1308/476,2696/815
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 1308/476,2696/815, numerators are 1308,2696
Denominators are 476,815
The GCF of 1308,2696 is 4 .
LCM of 476,815 is 387940.
The greatest common factor of 1308/476,2696/815 = [GCF of 1308,2696]/[LCM of 476,815]= 4/387940
Therefore, the GCF of 1308/476,2696/815 is 4/387940.
To find the highest common factor of 1308,2696, we have to find the factors of both numbers and list the highest common factor.
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696
The HCF of 1308,2696 is 4.
Lets's calculate GCF of 1308,2696
| 2 | 1308, 2696 |
| 2 | 654, 1348 |
| 327, 674 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1308,2696 By Matching Biggest Common Factor Method
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Now, list down the factors of 2696
:1,2,4,8,337,674,1348,2696
Greatest Common Factor
We found the factors 1308,2696 . The biggest common factor number is the GCF number.
So the greatest common factor 1308,2696 is 4.
Lets's calculate LCM of 476,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 387940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/387940
Therefore, the GCF of Fractions 1308/476,2696/815 is 4/387940
Least Common Multiple of 476,815 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 476,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,815) x common factors =1 x 1 = 1
LCM(476,815) = ( 476 × 815 ) / 1
LCM(476,815) = 387940 / 1
LCM(476,815) = 387940
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FAQs on GCF of Fractions of 1308/476, 2696/815
1. What is the HCF of 1308,2696?
The HCF of 1308,2696 is 4
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 1308/476, 2696/815?
Answer: GCF of Numerators as per given numbers 1308/476, 2696/815 is
GCF of Numerators i.e. for 1308,2696 is 4
LCM of denominators i.e. for 476,815 is 387940.
Thus, GCF of Fractions is 4/387940.Finally, GCF of Fractions for 1308/476, 2696/815 is 4/387940.