GCF of 2878/980, 9688/2144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2878/980, 9688/2144 i.e 2/525280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2878/980, 9688/2144.
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 2878/980,9688/2144?
Given fractions are 2878/980,9688/2144
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 2878/980,9688/2144, numerators are 2878,9688
Denominators are 980,2144
The GCF of 2878,9688 is 2 .
LCM of 980,2144 is 525280.
The greatest common factor of 2878/980,9688/2144 = [GCF of 2878,9688]/[LCM of 980,2144]= 2/525280
Therefore, the GCF of 2878/980,9688/2144 is 2/525280.
To find the highest common factor of 2878,9688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2878 are 1, 2, 1439, 2878
The factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688
The HCF of 2878,9688 is 2.
Lets's calculate GCF of 2878,9688
| 2 | 2878, 9688 |
| 1439, 4844 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2878,9688 By Matching Biggest Common Factor Method
Now, list down the factors of 2878
:1,2,1439,2878
Now, list down the factors of 9688
:1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688
Greatest Common Factor
We found the factors 2878,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 2878,9688 is 2.
Lets's calculate LCM of 980,2144
| 2 | 980, 2144 |
| 2 | 490, 1072 |
| 245, 536 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 536 = 525280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/525280
Therefore, the GCF of Fractions 2878/980,9688/2144 is 2/525280
Least Common Multiple of 980,2144 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 980,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2144) x common factors =4 x 1 = 4
LCM(980,2144) = ( 980 × 2144 ) / 4
LCM(980,2144) = 2101120 / 4
LCM(980,2144) = 525280
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FAQs on GCF of Fractions of 2878/980, 9688/2144
1. What is the HCF of 2878,9688?
The HCF of 2878,9688 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 2878/980, 9688/2144?
Answer: GCF of Numerators as per given numbers 2878/980, 9688/2144 is
GCF of Numerators i.e. for 2878,9688 is 2
LCM of denominators i.e. for 980,2144 is 525280.
Thus, GCF of Fractions is 2/525280.Finally, GCF of Fractions for 2878/980, 9688/2144 is 2/525280.