GCF of 7738/972, 4248/6108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7738/972, 4248/6108 i.e 2/494748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7738/972, 4248/6108.
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 7738/972,4248/6108?
Given fractions are 7738/972,4248/6108
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 7738/972,4248/6108, numerators are 7738,4248
Denominators are 972,6108
The GCF of 7738,4248 is 2 .
LCM of 972,6108 is 494748.
The greatest common factor of 7738/972,4248/6108 = [GCF of 7738,4248]/[LCM of 972,6108]= 2/494748
Therefore, the GCF of 7738/972,4248/6108 is 2/494748.
To find the highest common factor of 7738,4248, we have to find the factors of both numbers and list the highest common factor.
The factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738
The factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248
The HCF of 7738,4248 is 2.
Lets's calculate GCF of 7738,4248
| 2 | 7738, 4248 |
| 3869, 2124 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7738,4248 By Matching Biggest Common Factor Method
Now, list down the factors of 7738
:1,2,53,73,106,146,3869,7738
Now, list down the factors of 4248
:1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Greatest Common Factor
We found the factors 7738,4248 . The biggest common factor number is the GCF number.
So the greatest common factor 7738,4248 is 2.
Lets's calculate LCM of 972,6108
| 2 | 972, 6108 |
| 2 | 486, 3054 |
| 3 | 243, 1527 |
| 81, 509 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 509 = 494748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494748
Therefore, the GCF of Fractions 7738/972,4248/6108 is 2/494748
Least Common Multiple of 972,6108 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 972,6108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,6108) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(972,6108) x common factors =12 x 1 = 12
LCM(972,6108) = ( 972 × 6108 ) / 12
LCM(972,6108) = 5936976 / 12
LCM(972,6108) = 494748
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FAQs on GCF of Fractions of 7738/972, 4248/6108
1. What is the HCF of 7738,4248?
The HCF of 7738,4248 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 7738/972, 4248/6108?
Answer: GCF of Numerators as per given numbers 7738/972, 4248/6108 is
GCF of Numerators i.e. for 7738,4248 is 2
LCM of denominators i.e. for 972,6108 is 494748.
Thus, GCF of Fractions is 2/494748.Finally, GCF of Fractions for 7738/972, 4248/6108 is 2/494748.