GCF of 6938/231, 7448/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6938/231, 7448/708 i.e 2/54516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6938/231, 7448/708.
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 6938/231,7448/708?
Given fractions are 6938/231,7448/708
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 6938/231,7448/708, numerators are 6938,7448
Denominators are 231,708
The GCF of 6938,7448 is 2 .
LCM of 231,708 is 54516.
The greatest common factor of 6938/231,7448/708 = [GCF of 6938,7448]/[LCM of 231,708]= 2/54516
Therefore, the GCF of 6938/231,7448/708 is 2/54516.
To find the highest common factor of 6938,7448, we have to find the factors of both numbers and list the highest common factor.
The factors of 6938 are 1, 2, 3469, 6938
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The HCF of 6938,7448 is 2.
Lets's calculate GCF of 6938,7448
| 2 | 6938, 7448 |
| 3469, 3724 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6938,7448 By Matching Biggest Common Factor Method
Now, list down the factors of 6938
:1,2,3469,6938
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Greatest Common Factor
We found the factors 6938,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 6938,7448 is 2.
Lets's calculate LCM of 231,708
| 3 | 231, 708 |
| 77, 236 |
∴ So the LCM of the given numbers is 3 x 77 x 236 = 54516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54516
Therefore, the GCF of Fractions 6938/231,7448/708 is 2/54516
Least Common Multiple of 231,708 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 231,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(231,708) x common factors =3 x 1 = 3
LCM(231,708) = ( 231 × 708 ) / 3
LCM(231,708) = 163548 / 3
LCM(231,708) = 54516
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6938/231, 7448/708
1. What is the HCF of 6938,7448?
The HCF of 6938,7448 is 2
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 6938/231, 7448/708?
Answer: GCF of Numerators as per given numbers 6938/231, 7448/708 is
GCF of Numerators i.e. for 6938,7448 is 2
LCM of denominators i.e. for 231,708 is 54516.
Thus, GCF of Fractions is 2/54516.Finally, GCF of Fractions for 6938/231, 7448/708 is 2/54516.