GCF of 673/756, 374/776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 673/756, 374/776 i.e 1/146664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/756, 374/776.
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 673/756,374/776?
Given fractions are 673/756,374/776
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 673/756,374/776, numerators are 673,374
Denominators are 756,776
The GCF of 673,374 is 1 .
LCM of 756,776 is 146664.
The greatest common factor of 673/756,374/776 = [GCF of 673,374]/[LCM of 756,776]= 1/146664
Therefore, the GCF of 673/756,374/776 is 1/146664.
To find the highest common factor of 673,374, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The HCF of 673,374 is 1.
Lets's calculate GCF of 673,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 673,374 By Matching Biggest Common Factor Method
Now, list down the factors of 673
:1,673
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 673,374 . The biggest common factor number is the GCF number.
So the greatest common factor 673,374 is 1.
Lets's calculate LCM of 756,776
| 2 | 756, 776 |
| 2 | 378, 388 |
| 189, 194 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 194 = 146664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146664
Therefore, the GCF of Fractions 673/756,374/776 is 1/146664
Least Common Multiple of 756,776 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 756,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,776) x common factors =4 x 1 = 4
LCM(756,776) = ( 756 × 776 ) / 4
LCM(756,776) = 586656 / 4
LCM(756,776) = 146664
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 673/756, 374/776
1. What is the HCF of 673,374?
The HCF of 673,374 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 673/756, 374/776?
Answer: GCF of Numerators as per given numbers 673/756, 374/776 is
GCF of Numerators i.e. for 673,374 is 1
LCM of denominators i.e. for 756,776 is 146664.
Thus, GCF of Fractions is 1/146664.Finally, GCF of Fractions for 673/756, 374/776 is 1/146664.