GCF of 6676/706, 4928/7711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6676/706, 4928/7711 i.e 4/5443966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6676/706, 4928/7711.
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 6676/706,4928/7711?
Given fractions are 6676/706,4928/7711
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 6676/706,4928/7711, numerators are 6676,4928
Denominators are 706,7711
The GCF of 6676,4928 is 4 .
LCM of 706,7711 is 5443966.
The greatest common factor of 6676/706,4928/7711 = [GCF of 6676,4928]/[LCM of 706,7711]= 4/5443966
Therefore, the GCF of 6676/706,4928/7711 is 4/5443966.
To find the highest common factor of 6676,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 6676 are 1, 2, 4, 1669, 3338, 6676
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 6676,4928 is 4.
Lets's calculate GCF of 6676,4928
| 2 | 6676, 4928 |
| 2 | 3338, 2464 |
| 1669, 1232 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6676,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 6676
:1,2,4,1669,3338,6676
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 6676,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,4928 is 4.
Lets's calculate LCM of 706,7711
Given numbers has no common factors except 1. So, there LCM is their product i.e 5443966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5443966
Therefore, the GCF of Fractions 6676/706,4928/7711 is 4/5443966
Least Common Multiple of 706,7711 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 706,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7711) x common factors =1 x 1 = 1
LCM(706,7711) = ( 706 × 7711 ) / 1
LCM(706,7711) = 5443966 / 1
LCM(706,7711) = 5443966
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FAQs on GCF of Fractions of 6676/706, 4928/7711
1. What is the HCF of 6676,4928?
The HCF of 6676,4928 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 6676/706, 4928/7711?
Answer: GCF of Numerators as per given numbers 6676/706, 4928/7711 is
GCF of Numerators i.e. for 6676,4928 is 4
LCM of denominators i.e. for 706,7711 is 5443966.
Thus, GCF of Fractions is 4/5443966.Finally, GCF of Fractions for 6676/706, 4928/7711 is 4/5443966.