GCF of 1066/521, 7878/7740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1066/521, 7878/7740 i.e 26/4032540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1066/521, 7878/7740.
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 1066/521,7878/7740?
Given fractions are 1066/521,7878/7740
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 1066/521,7878/7740, numerators are 1066,7878
Denominators are 521,7740
The GCF of 1066,7878 is 26 .
LCM of 521,7740 is 4032540.
The greatest common factor of 1066/521,7878/7740 = [GCF of 1066,7878]/[LCM of 521,7740]= 26/4032540
Therefore, the GCF of 1066/521,7878/7740 is 26/4032540.
To find the highest common factor of 1066,7878, we have to find the factors of both numbers and list the highest common factor.
The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066
The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878
The HCF of 1066,7878 is 26.
Lets's calculate GCF of 1066,7878
| 2 | 1066, 7878 |
| 13 | 533, 3939 |
| 41, 303 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1066,7878 By Matching Biggest Common Factor Method
Now, list down the factors of 1066
:1,2,13,26,41,82,533,1066
Now, list down the factors of 7878
:1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878
Greatest Common Factor
We found the factors 1066,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 1066,7878 is 26.
Lets's calculate LCM of 521,7740
Given numbers has no common factors except 1. So, there LCM is their product i.e 4032540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/4032540
Therefore, the GCF of Fractions 1066/521,7878/7740 is 26/4032540
Least Common Multiple of 521,7740 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 521,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,7740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,7740) x common factors =1 x 1 = 1
LCM(521,7740) = ( 521 × 7740 ) / 1
LCM(521,7740) = 4032540 / 1
LCM(521,7740) = 4032540
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FAQs on GCF of Fractions of 1066/521, 7878/7740
1. What is the HCF of 1066,7878?
The HCF of 1066,7878 is 26
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 1066/521, 7878/7740?
Answer: GCF of Numerators as per given numbers 1066/521, 7878/7740 is
GCF of Numerators i.e. for 1066,7878 is 26
LCM of denominators i.e. for 521,7740 is 4032540.
Thus, GCF of Fractions is 26/4032540.Finally, GCF of Fractions for 1066/521, 7878/7740 is 26/4032540.