GCF of 2802/878, 2974/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2802/878, 2974/276 i.e 2/121164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2802/878, 2974/276.
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 2802/878,2974/276?
Given fractions are 2802/878,2974/276
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 2802/878,2974/276, numerators are 2802,2974
Denominators are 878,276
The GCF of 2802,2974 is 2 .
LCM of 878,276 is 121164.
The greatest common factor of 2802/878,2974/276 = [GCF of 2802,2974]/[LCM of 878,276]= 2/121164
Therefore, the GCF of 2802/878,2974/276 is 2/121164.
To find the highest common factor of 2802,2974, we have to find the factors of both numbers and list the highest common factor.
The factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802
The factors of 2974 are 1, 2, 1487, 2974
The HCF of 2802,2974 is 2.
Lets's calculate GCF of 2802,2974
| 2 | 2802, 2974 |
| 1401, 1487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2802,2974 By Matching Biggest Common Factor Method
Now, list down the factors of 2802
:1,2,3,6,467,934,1401,2802
Now, list down the factors of 2974
:1,2,1487,2974
Greatest Common Factor
We found the factors 2802,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 2802,2974 is 2.
Lets's calculate LCM of 878,276
| 2 | 878, 276 |
| 439, 138 |
∴ So the LCM of the given numbers is 2 x 439 x 138 = 121164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121164
Therefore, the GCF of Fractions 2802/878,2974/276 is 2/121164
Least Common Multiple of 878,276 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 878,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,276) x common factors =2 x 1 = 2
LCM(878,276) = ( 878 × 276 ) / 2
LCM(878,276) = 242328 / 2
LCM(878,276) = 121164
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FAQs on GCF of Fractions of 2802/878, 2974/276
1. What is the HCF of 2802,2974?
The HCF of 2802,2974 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 2802/878, 2974/276?
Answer: GCF of Numerators as per given numbers 2802/878, 2974/276 is
GCF of Numerators i.e. for 2802,2974 is 2
LCM of denominators i.e. for 878,276 is 121164.
Thus, GCF of Fractions is 2/121164.Finally, GCF of Fractions for 2802/878, 2974/276 is 2/121164.