GCF of 773/616, 1077/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 773/616, 1077/758 i.e 1/233464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/616, 1077/758.
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 773/616,1077/758?
Given fractions are 773/616,1077/758
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 773/616,1077/758, numerators are 773,1077
Denominators are 616,758
The GCF of 773,1077 is 1 .
LCM of 616,758 is 233464.
The greatest common factor of 773/616,1077/758 = [GCF of 773,1077]/[LCM of 616,758]= 1/233464
Therefore, the GCF of 773/616,1077/758 is 1/233464.
To find the highest common factor of 773,1077, 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 1077 are 1, 3, 359, 1077
The HCF of 773,1077 is 1.
Lets's calculate GCF of 773,1077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 773,1077 By Matching Biggest Common Factor Method
Now, list down the factors of 773
:1,773
Now, list down the factors of 1077
:1,3,359,1077
Greatest Common Factor
We found the factors 773,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 773,1077 is 1.
Lets's calculate LCM of 616,758
| 2 | 616, 758 |
| 308, 379 |
∴ So the LCM of the given numbers is 2 x 308 x 379 = 233464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233464
Therefore, the GCF of Fractions 773/616,1077/758 is 1/233464
Least Common Multiple of 616,758 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 616,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,758) x common factors =2 x 1 = 2
LCM(616,758) = ( 616 × 758 ) / 2
LCM(616,758) = 466928 / 2
LCM(616,758) = 233464
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 773/616, 1077/758
1. What is the HCF of 773,1077?
The HCF of 773,1077 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 773/616, 1077/758?
Answer: GCF of Numerators as per given numbers 773/616, 1077/758 is
GCF of Numerators i.e. for 773,1077 is 1
LCM of denominators i.e. for 616,758 is 233464.
Thus, GCF of Fractions is 1/233464.Finally, GCF of Fractions for 773/616, 1077/758 is 1/233464.