GCF of 7716/298, 2478/7792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7716/298, 2478/7792 i.e 6/1161008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7716/298, 2478/7792.
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 7716/298,2478/7792?
Given fractions are 7716/298,2478/7792
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 7716/298,2478/7792, numerators are 7716,2478
Denominators are 298,7792
The GCF of 7716,2478 is 6 .
LCM of 298,7792 is 1161008.
The greatest common factor of 7716/298,2478/7792 = [GCF of 7716,2478]/[LCM of 298,7792]= 6/1161008
Therefore, the GCF of 7716/298,2478/7792 is 6/1161008.
To find the highest common factor of 7716,2478, we have to find the factors of both numbers and list the highest common factor.
The factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The HCF of 7716,2478 is 6.
Lets's calculate GCF of 7716,2478
| 2 | 7716, 2478 |
| 3 | 3858, 1239 |
| 1286, 413 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7716,2478 By Matching Biggest Common Factor Method
Now, list down the factors of 7716
:1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Greatest Common Factor
We found the factors 7716,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,2478 is 6.
Lets's calculate LCM of 298,7792
| 2 | 298, 7792 |
| 149, 3896 |
∴ So the LCM of the given numbers is 2 x 149 x 3896 = 1161008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1161008
Therefore, the GCF of Fractions 7716/298,2478/7792 is 6/1161008
Least Common Multiple of 298,7792 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 298,7792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,7792) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,7792) x common factors =2 x 1 = 2
LCM(298,7792) = ( 298 × 7792 ) / 2
LCM(298,7792) = 2322016 / 2
LCM(298,7792) = 1161008
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FAQs on GCF of Fractions of 7716/298, 2478/7792
1. What is the HCF of 7716,2478?
The HCF of 7716,2478 is 6
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 7716/298, 2478/7792?
Answer: GCF of Numerators as per given numbers 7716/298, 2478/7792 is
GCF of Numerators i.e. for 7716,2478 is 6
LCM of denominators i.e. for 298,7792 is 1161008.
Thus, GCF of Fractions is 6/1161008.Finally, GCF of Fractions for 7716/298, 2478/7792 is 6/1161008.