GCF of 7335/885, 1507/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7335/885, 1507/708 i.e 1/3540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7335/885, 1507/708.
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 7335/885,1507/708?
Given fractions are 7335/885,1507/708
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 7335/885,1507/708, numerators are 7335,1507
Denominators are 885,708
The GCF of 7335,1507 is 1 .
LCM of 885,708 is 3540.
The greatest common factor of 7335/885,1507/708 = [GCF of 7335,1507]/[LCM of 885,708]= 1/3540
Therefore, the GCF of 7335/885,1507/708 is 1/3540.
To find the highest common factor of 7335,1507, we have to find the factors of both numbers and list the highest common factor.
The factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335
The factors of 1507 are 1, 11, 137, 1507
The HCF of 7335,1507 is 1.
Lets's calculate GCF of 7335,1507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7335,1507 By Matching Biggest Common Factor Method
Now, list down the factors of 7335
:1,3,5,9,15,45,163,489,815,1467,2445,7335
Now, list down the factors of 1507
:1,11,137,1507
Greatest Common Factor
We found the factors 7335,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 7335,1507 is 1.
Lets's calculate LCM of 885,708
| 3 | 885, 708 |
| 59 | 295, 236 |
| 5, 4 |
∴ So the LCM of the given numbers is 3 x 59 x 5 x 4 = 3540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3540
Therefore, the GCF of Fractions 7335/885,1507/708 is 1/3540
Least Common Multiple of 885,708 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 885,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,708) = 177
common factors(in case of two or more numbers have common factors) = 1
GCF(885,708) x common factors =177 x 1 = 177
LCM(885,708) = ( 885 × 708 ) / 177
LCM(885,708) = 626580 / 177
LCM(885,708) = 3540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7335/885, 1507/708
1. What is the HCF of 7335,1507?
The HCF of 7335,1507 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 7335/885, 1507/708?
Answer: GCF of Numerators as per given numbers 7335/885, 1507/708 is
GCF of Numerators i.e. for 7335,1507 is 1
LCM of denominators i.e. for 885,708 is 3540.
Thus, GCF of Fractions is 1/3540.Finally, GCF of Fractions for 7335/885, 1507/708 is 1/3540.