GCF of 7876/355, 1388/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7876/355, 1388/896 i.e 4/318080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7876/355, 1388/896.
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 7876/355,1388/896?
Given fractions are 7876/355,1388/896
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 7876/355,1388/896, numerators are 7876,1388
Denominators are 355,896
The GCF of 7876,1388 is 4 .
LCM of 355,896 is 318080.
The greatest common factor of 7876/355,1388/896 = [GCF of 7876,1388]/[LCM of 355,896]= 4/318080
Therefore, the GCF of 7876/355,1388/896 is 4/318080.
To find the highest common factor of 7876,1388, we have to find the factors of both numbers and list the highest common factor.
The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876
The factors of 1388 are 1, 2, 4, 347, 694, 1388
The HCF of 7876,1388 is 4.
Lets's calculate GCF of 7876,1388
| 2 | 7876, 1388 |
| 2 | 3938, 694 |
| 1969, 347 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7876,1388 By Matching Biggest Common Factor Method
Now, list down the factors of 7876
:1,2,4,11,22,44,179,358,716,1969,3938,7876
Now, list down the factors of 1388
:1,2,4,347,694,1388
Greatest Common Factor
We found the factors 7876,1388 . The biggest common factor number is the GCF number.
So the greatest common factor 7876,1388 is 4.
Lets's calculate LCM of 355,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 318080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/318080
Therefore, the GCF of Fractions 7876/355,1388/896 is 4/318080
Least Common Multiple of 355,896 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 355,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,896) x common factors =1 x 1 = 1
LCM(355,896) = ( 355 × 896 ) / 1
LCM(355,896) = 318080 / 1
LCM(355,896) = 318080
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FAQs on GCF of Fractions of 7876/355, 1388/896
1. What is the HCF of 7876,1388?
The HCF of 7876,1388 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 7876/355, 1388/896?
Answer: GCF of Numerators as per given numbers 7876/355, 1388/896 is
GCF of Numerators i.e. for 7876,1388 is 4
LCM of denominators i.e. for 355,896 is 318080.
Thus, GCF of Fractions is 4/318080.Finally, GCF of Fractions for 7876/355, 1388/896 is 4/318080.