GCF of 976/44, 788/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/44, 788/642 i.e 4/14124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/44, 788/642.
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 976/44,788/642?
Given fractions are 976/44,788/642
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 976/44,788/642, numerators are 976,788
Denominators are 44,642
The GCF of 976,788 is 4 .
LCM of 44,642 is 14124.
The greatest common factor of 976/44,788/642 = [GCF of 976,788]/[LCM of 44,642]= 4/14124
Therefore, the GCF of 976/44,788/642 is 4/14124.
To find the highest common factor of 976,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 976,788 is 4.
Lets's calculate GCF of 976,788
| 2 | 976, 788 |
| 2 | 488, 394 |
| 244, 197 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 976,788 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 976,788 . The biggest common factor number is the GCF number.
So the greatest common factor 976,788 is 4.
Lets's calculate LCM of 44,642
| 2 | 44, 642 |
| 22, 321 |
∴ So the LCM of the given numbers is 2 x 22 x 321 = 14124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14124
Therefore, the GCF of Fractions 976/44,788/642 is 4/14124
Least Common Multiple of 44,642 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 44,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,642) x common factors =2 x 1 = 2
LCM(44,642) = ( 44 × 642 ) / 2
LCM(44,642) = 28248 / 2
LCM(44,642) = 14124
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FAQs on GCF of Fractions of 976/44, 788/642
1. What is the HCF of 976,788?
The HCF of 976,788 is 4
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 976/44, 788/642?
Answer: GCF of Numerators as per given numbers 976/44, 788/642 is
GCF of Numerators i.e. for 976,788 is 4
LCM of denominators i.e. for 44,642 is 14124.
Thus, GCF of Fractions is 4/14124.Finally, GCF of Fractions for 976/44, 788/642 is 4/14124.