GCF of 7438/228, 6916/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7438/228, 6916/511 i.e 2/116508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7438/228, 6916/511.
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 7438/228,6916/511?
Given fractions are 7438/228,6916/511
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 7438/228,6916/511, numerators are 7438,6916
Denominators are 228,511
The GCF of 7438,6916 is 2 .
LCM of 228,511 is 116508.
The greatest common factor of 7438/228,6916/511 = [GCF of 7438,6916]/[LCM of 228,511]= 2/116508
Therefore, the GCF of 7438/228,6916/511 is 2/116508.
To find the highest common factor of 7438,6916, we have to find the factors of both numbers and list the highest common factor.
The factors of 7438 are 1, 2, 3719, 7438
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The HCF of 7438,6916 is 2.
Lets's calculate GCF of 7438,6916
| 2 | 7438, 6916 |
| 3719, 3458 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7438,6916 By Matching Biggest Common Factor Method
Now, list down the factors of 7438
:1,2,3719,7438
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Greatest Common Factor
We found the factors 7438,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 7438,6916 is 2.
Lets's calculate LCM of 228,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 116508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116508
Therefore, the GCF of Fractions 7438/228,6916/511 is 2/116508
Least Common Multiple of 228,511 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 228,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,511) x common factors =1 x 1 = 1
LCM(228,511) = ( 228 × 511 ) / 1
LCM(228,511) = 116508 / 1
LCM(228,511) = 116508
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FAQs on GCF of Fractions of 7438/228, 6916/511
1. What is the HCF of 7438,6916?
The HCF of 7438,6916 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 7438/228, 6916/511?
Answer: GCF of Numerators as per given numbers 7438/228, 6916/511 is
GCF of Numerators i.e. for 7438,6916 is 2
LCM of denominators i.e. for 228,511 is 116508.
Thus, GCF of Fractions is 2/116508.Finally, GCF of Fractions for 7438/228, 6916/511 is 2/116508.