GCF of 7341/308, 3976/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7341/308, 3976/688 i.e 1/52976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7341/308, 3976/688.
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 7341/308,3976/688?
Given fractions are 7341/308,3976/688
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 7341/308,3976/688, numerators are 7341,3976
Denominators are 308,688
The GCF of 7341,3976 is 1 .
LCM of 308,688 is 52976.
The greatest common factor of 7341/308,3976/688 = [GCF of 7341,3976]/[LCM of 308,688]= 1/52976
Therefore, the GCF of 7341/308,3976/688 is 1/52976.
To find the highest common factor of 7341,3976, we have to find the factors of both numbers and list the highest common factor.
The factors of 7341 are 1, 3, 2447, 7341
The factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976
The HCF of 7341,3976 is 1.
Lets's calculate GCF of 7341,3976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7341,3976 By Matching Biggest Common Factor Method
Now, list down the factors of 7341
:1,3,2447,7341
Now, list down the factors of 3976
:1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976
Greatest Common Factor
We found the factors 7341,3976 . The biggest common factor number is the GCF number.
So the greatest common factor 7341,3976 is 1.
Lets's calculate LCM of 308,688
| 2 | 308, 688 |
| 2 | 154, 344 |
| 77, 172 |
∴ So the LCM of the given numbers is 2 x 2 x 77 x 172 = 52976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52976
Therefore, the GCF of Fractions 7341/308,3976/688 is 1/52976
Least Common Multiple of 308,688 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 308,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,688) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(308,688) x common factors =4 x 1 = 4
LCM(308,688) = ( 308 × 688 ) / 4
LCM(308,688) = 211904 / 4
LCM(308,688) = 52976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7341/308, 3976/688
1. What is the HCF of 7341,3976?
The HCF of 7341,3976 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 7341/308, 3976/688?
Answer: GCF of Numerators as per given numbers 7341/308, 3976/688 is
GCF of Numerators i.e. for 7341,3976 is 1
LCM of denominators i.e. for 308,688 is 52976.
Thus, GCF of Fractions is 1/52976.Finally, GCF of Fractions for 7341/308, 3976/688 is 1/52976.