GCF of 6985/807, 4237/4533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6985/807, 4237/4533 i.e 1/1219377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6985/807, 4237/4533.
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 6985/807,4237/4533?
Given fractions are 6985/807,4237/4533
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 6985/807,4237/4533, numerators are 6985,4237
Denominators are 807,4533
The GCF of 6985,4237 is 1 .
LCM of 807,4533 is 1219377.
The greatest common factor of 6985/807,4237/4533 = [GCF of 6985,4237]/[LCM of 807,4533]= 1/1219377
Therefore, the GCF of 6985/807,4237/4533 is 1/1219377.
To find the highest common factor of 6985,4237, we have to find the factors of both numbers and list the highest common factor.
The factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985
The factors of 4237 are 1, 19, 223, 4237
The HCF of 6985,4237 is 1.
Lets's calculate GCF of 6985,4237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6985,4237 By Matching Biggest Common Factor Method
Now, list down the factors of 6985
:1,5,11,55,127,635,1397,6985
Now, list down the factors of 4237
:1,19,223,4237
Greatest Common Factor
We found the factors 6985,4237 . The biggest common factor number is the GCF number.
So the greatest common factor 6985,4237 is 1.
Lets's calculate LCM of 807,4533
| 3 | 807, 4533 |
| 269, 1511 |
∴ So the LCM of the given numbers is 3 x 269 x 1511 = 1219377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1219377
Therefore, the GCF of Fractions 6985/807,4237/4533 is 1/1219377
Least Common Multiple of 807,4533 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 807,4533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,4533) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,4533) x common factors =3 x 1 = 3
LCM(807,4533) = ( 807 × 4533 ) / 3
LCM(807,4533) = 3658131 / 3
LCM(807,4533) = 1219377
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6985/807, 4237/4533
1. What is the HCF of 6985,4237?
The HCF of 6985,4237 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 6985/807, 4237/4533?
Answer: GCF of Numerators as per given numbers 6985/807, 4237/4533 is
GCF of Numerators i.e. for 6985,4237 is 1
LCM of denominators i.e. for 807,4533 is 1219377.
Thus, GCF of Fractions is 1/1219377.Finally, GCF of Fractions for 6985/807, 4237/4533 is 1/1219377.