GCF of 884/48, 678/7734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/48, 678/7734 i.e 2/61872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/48, 678/7734.
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 884/48,678/7734?
Given fractions are 884/48,678/7734
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 884/48,678/7734, numerators are 884,678
Denominators are 48,7734
The GCF of 884,678 is 2 .
LCM of 48,7734 is 61872.
The greatest common factor of 884/48,678/7734 = [GCF of 884,678]/[LCM of 48,7734]= 2/61872
Therefore, the GCF of 884/48,678/7734 is 2/61872.
To find the highest common factor of 884,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 884,678 is 2.
Lets's calculate GCF of 884,678
| 2 | 884, 678 |
| 442, 339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 884,678 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 884,678 . The biggest common factor number is the GCF number.
So the greatest common factor 884,678 is 2.
Lets's calculate LCM of 48,7734
| 2 | 48, 7734 |
| 3 | 24, 3867 |
| 8, 1289 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 1289 = 61872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61872
Therefore, the GCF of Fractions 884/48,678/7734 is 2/61872
Least Common Multiple of 48,7734 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 48,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,7734) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(48,7734) x common factors =6 x 1 = 6
LCM(48,7734) = ( 48 × 7734 ) / 6
LCM(48,7734) = 371232 / 6
LCM(48,7734) = 61872
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FAQs on GCF of Fractions of 884/48, 678/7734
1. What is the HCF of 884,678?
The HCF of 884,678 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 884/48, 678/7734?
Answer: GCF of Numerators as per given numbers 884/48, 678/7734 is
GCF of Numerators i.e. for 884,678 is 2
LCM of denominators i.e. for 48,7734 is 61872.
Thus, GCF of Fractions is 2/61872.Finally, GCF of Fractions for 884/48, 678/7734 is 2/61872.