GCF of 7448/711, 6748/1228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/711, 6748/1228 i.e 28/873108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/711, 6748/1228.
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 7448/711,6748/1228?
Given fractions are 7448/711,6748/1228
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 7448/711,6748/1228, numerators are 7448,6748
Denominators are 711,1228
The GCF of 7448,6748 is 28 .
LCM of 711,1228 is 873108.
The greatest common factor of 7448/711,6748/1228 = [GCF of 7448,6748]/[LCM of 711,1228]= 28/873108
Therefore, the GCF of 7448/711,6748/1228 is 28/873108.
To find the highest common factor of 7448,6748, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748
The HCF of 7448,6748 is 28.
Lets's calculate GCF of 7448,6748
| 2 | 7448, 6748 |
| 2 | 3724, 3374 |
| 7 | 1862, 1687 |
| 266, 241 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 7448,6748 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6748
:1,2,4,7,14,28,241,482,964,1687,3374,6748
Greatest Common Factor
We found the factors 7448,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,6748 is 28.
Lets's calculate LCM of 711,1228
Given numbers has no common factors except 1. So, there LCM is their product i.e 873108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/873108
Therefore, the GCF of Fractions 7448/711,6748/1228 is 28/873108
Least Common Multiple of 711,1228 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 711,1228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,1228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,1228) x common factors =1 x 1 = 1
LCM(711,1228) = ( 711 × 1228 ) / 1
LCM(711,1228) = 873108 / 1
LCM(711,1228) = 873108
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FAQs on GCF of Fractions of 7448/711, 6748/1228
1. What is the HCF of 7448,6748?
The HCF of 7448,6748 is 28
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 7448/711, 6748/1228?
Answer: GCF of Numerators as per given numbers 7448/711, 6748/1228 is
GCF of Numerators i.e. for 7448,6748 is 28
LCM of denominators i.e. for 711,1228 is 873108.
Thus, GCF of Fractions is 28/873108.Finally, GCF of Fractions for 7448/711, 6748/1228 is 28/873108.