GCF of 773/78, 912/4139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 773/78, 912/4139 i.e 1/322842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/78, 912/4139.
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 773/78,912/4139?
Given fractions are 773/78,912/4139
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 773/78,912/4139, numerators are 773,912
Denominators are 78,4139
The GCF of 773,912 is 1 .
LCM of 78,4139 is 322842.
The greatest common factor of 773/78,912/4139 = [GCF of 773,912]/[LCM of 78,4139]= 1/322842
Therefore, the GCF of 773/78,912/4139 is 1/322842.
To find the highest common factor of 773,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 773,912 is 1.
Lets's calculate GCF of 773,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 773,912 By Matching Biggest Common Factor Method
Now, list down the factors of 773
:1,773
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 773,912 . The biggest common factor number is the GCF number.
So the greatest common factor 773,912 is 1.
Lets's calculate LCM of 78,4139
Given numbers has no common factors except 1. So, there LCM is their product i.e 322842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322842
Therefore, the GCF of Fractions 773/78,912/4139 is 1/322842
Least Common Multiple of 78,4139 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 78,4139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,4139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,4139) x common factors =1 x 1 = 1
LCM(78,4139) = ( 78 × 4139 ) / 1
LCM(78,4139) = 322842 / 1
LCM(78,4139) = 322842
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 773/78, 912/4139
1. What is the HCF of 773,912?
The HCF of 773,912 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 773/78, 912/4139?
Answer: GCF of Numerators as per given numbers 773/78, 912/4139 is
GCF of Numerators i.e. for 773,912 is 1
LCM of denominators i.e. for 78,4139 is 322842.
Thus, GCF of Fractions is 1/322842.Finally, GCF of Fractions for 773/78, 912/4139 is 1/322842.