GCF of 1377/978, 7948/1874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1377/978, 7948/1874 i.e 1/916386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1377/978, 7948/1874.
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 1377/978,7948/1874?
Given fractions are 1377/978,7948/1874
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 1377/978,7948/1874, numerators are 1377,7948
Denominators are 978,1874
The GCF of 1377,7948 is 1 .
LCM of 978,1874 is 916386.
The greatest common factor of 1377/978,7948/1874 = [GCF of 1377,7948]/[LCM of 978,1874]= 1/916386
Therefore, the GCF of 1377/978,7948/1874 is 1/916386.
To find the highest common factor of 1377,7948, we have to find the factors of both numbers and list the highest common factor.
The factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377
The factors of 7948 are 1, 2, 4, 1987, 3974, 7948
The HCF of 1377,7948 is 1.
Lets's calculate GCF of 1377,7948
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1377,7948 By Matching Biggest Common Factor Method
Now, list down the factors of 1377
:1,3,9,17,27,51,81,153,459,1377
Now, list down the factors of 7948
:1,2,4,1987,3974,7948
Greatest Common Factor
We found the factors 1377,7948 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,7948 is 1.
Lets's calculate LCM of 978,1874
| 2 | 978, 1874 |
| 489, 937 |
∴ So the LCM of the given numbers is 2 x 489 x 937 = 916386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916386
Therefore, the GCF of Fractions 1377/978,7948/1874 is 1/916386
Least Common Multiple of 978,1874 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 978,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1874) x common factors =2 x 1 = 2
LCM(978,1874) = ( 978 × 1874 ) / 2
LCM(978,1874) = 1832772 / 2
LCM(978,1874) = 916386
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1377/978, 7948/1874
1. What is the HCF of 1377,7948?
The HCF of 1377,7948 is 1
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 1377/978, 7948/1874?
Answer: GCF of Numerators as per given numbers 1377/978, 7948/1874 is
GCF of Numerators i.e. for 1377,7948 is 1
LCM of denominators i.e. for 978,1874 is 916386.
Thus, GCF of Fractions is 1/916386.Finally, GCF of Fractions for 1377/978, 7948/1874 is 1/916386.