Use our free GCF of Fractions Calculator tool to compute the GCF of 472/778, 1276/707 i.e 4/550046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/778, 1276/707.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/778,1276/707
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 472/778,1276/707, numerators are 472,1276
Denominators are 778,707
The GCF of 472,1276 is 4 .
LCM of 778,707 is 550046.
The greatest common factor of 472/778,1276/707 = [GCF of 472,1276]/[LCM of 778,707]= 4/550046
Therefore, the GCF of 472/778,1276/707 is 4/550046.
To find the highest common factor of 472,1276, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The HCF of 472,1276 is 4.
Lets's calculate GCF of 472,1276
2 | 472, 1276 |
2 | 236, 638 |
118, 319 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors 472,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 472,1276 is 4.
Lets's calculate LCM of 778,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 550046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/550046
Therefore, the GCF of Fractions 472/778,1276/707 is 4/550046
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 778,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,707) x common factors =1 x 1 = 1
LCM(778,707) = ( 778 × 707 ) / 1
LCM(778,707) = 550046 / 1
LCM(778,707) = 550046
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 472,1276?
The HCF of 472,1276 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 472/778, 1276/707?
Answer: GCF of Numerators as per given numbers 472/778, 1276/707 is
GCF of Numerators i.e. for 472,1276 is 4
LCM of denominators i.e. for 778,707 is 550046.
Thus, GCF of Fractions is 4/550046.Finally, GCF of Fractions for 472/778, 1276/707 is 4/550046.