GCF of 6936/138, 1877/4414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6936/138, 1877/4414 i.e 1/304566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6936/138, 1877/4414.
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 6936/138,1877/4414?
Given fractions are 6936/138,1877/4414
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 6936/138,1877/4414, numerators are 6936,1877
Denominators are 138,4414
The GCF of 6936,1877 is 1 .
LCM of 138,4414 is 304566.
The greatest common factor of 6936/138,1877/4414 = [GCF of 6936,1877]/[LCM of 138,4414]= 1/304566
Therefore, the GCF of 6936/138,1877/4414 is 1/304566.
To find the highest common factor of 6936,1877, we have to find the factors of both numbers and list the highest common factor.
The factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936
The factors of 1877 are 1, 1877
The HCF of 6936,1877 is 1.
Lets's calculate GCF of 6936,1877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6936,1877 By Matching Biggest Common Factor Method
Now, list down the factors of 6936
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936
Now, list down the factors of 1877
:1,1877
Greatest Common Factor
We found the factors 6936,1877 . The biggest common factor number is the GCF number.
So the greatest common factor 6936,1877 is 1.
Lets's calculate LCM of 138,4414
| 2 | 138, 4414 |
| 69, 2207 |
∴ So the LCM of the given numbers is 2 x 69 x 2207 = 304566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304566
Therefore, the GCF of Fractions 6936/138,1877/4414 is 1/304566
Least Common Multiple of 138,4414 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 138,4414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,4414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,4414) x common factors =2 x 1 = 2
LCM(138,4414) = ( 138 × 4414 ) / 2
LCM(138,4414) = 609132 / 2
LCM(138,4414) = 304566
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FAQs on GCF of Fractions of 6936/138, 1877/4414
1. What is the HCF of 6936,1877?
The HCF of 6936,1877 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 6936/138, 1877/4414?
Answer: GCF of Numerators as per given numbers 6936/138, 1877/4414 is
GCF of Numerators i.e. for 6936,1877 is 1
LCM of denominators i.e. for 138,4414 is 304566.
Thus, GCF of Fractions is 1/304566.Finally, GCF of Fractions for 6936/138, 1877/4414 is 1/304566.