GCF of 1276/884, 8758/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1276/884, 8758/982 i.e 58/434044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1276/884, 8758/982.
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 1276/884,8758/982?
Given fractions are 1276/884,8758/982
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 1276/884,8758/982, numerators are 1276,8758
Denominators are 884,982
The GCF of 1276,8758 is 58 .
LCM of 884,982 is 434044.
The greatest common factor of 1276/884,8758/982 = [GCF of 1276,8758]/[LCM of 884,982]= 58/434044
Therefore, the GCF of 1276/884,8758/982 is 58/434044.
To find the highest common factor of 1276,8758, we have to find the factors of both numbers and list the highest common factor.
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The HCF of 1276,8758 is 58.
Lets's calculate GCF of 1276,8758
| 2 | 1276, 8758 |
| 29 | 638, 4379 |
| 22, 151 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 1276,8758 By Matching Biggest Common Factor Method
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 1276,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 1276,8758 is 58.
Lets's calculate LCM of 884,982
| 2 | 884, 982 |
| 442, 491 |
∴ So the LCM of the given numbers is 2 x 442 x 491 = 434044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/434044
Therefore, the GCF of Fractions 1276/884,8758/982 is 58/434044
Least Common Multiple of 884,982 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 884,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,982) x common factors =2 x 1 = 2
LCM(884,982) = ( 884 × 982 ) / 2
LCM(884,982) = 868088 / 2
LCM(884,982) = 434044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1276/884, 8758/982
1. What is the HCF of 1276,8758?
The HCF of 1276,8758 is 58
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 1276/884, 8758/982?
Answer: GCF of Numerators as per given numbers 1276/884, 8758/982 is
GCF of Numerators i.e. for 1276,8758 is 58
LCM of denominators i.e. for 884,982 is 434044.
Thus, GCF of Fractions is 58/434044.Finally, GCF of Fractions for 1276/884, 8758/982 is 58/434044.