GCF of 7964/484, 9562/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7964/484, 9562/549 i.e 2/265716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7964/484, 9562/549.
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 7964/484,9562/549?
Given fractions are 7964/484,9562/549
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 7964/484,9562/549, numerators are 7964,9562
Denominators are 484,549
The GCF of 7964,9562 is 2 .
LCM of 484,549 is 265716.
The greatest common factor of 7964/484,9562/549 = [GCF of 7964,9562]/[LCM of 484,549]= 2/265716
Therefore, the GCF of 7964/484,9562/549 is 2/265716.
To find the highest common factor of 7964,9562, we have to find the factors of both numbers and list the highest common factor.
The factors of 7964 are 1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982, 7964
The factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562
The HCF of 7964,9562 is 2.
Lets's calculate GCF of 7964,9562
| 2 | 7964, 9562 |
| 3982, 4781 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7964,9562 By Matching Biggest Common Factor Method
Now, list down the factors of 7964
:1,2,4,11,22,44,181,362,724,1991,3982,7964
Now, list down the factors of 9562
:1,2,7,14,683,1366,4781,9562
Greatest Common Factor
We found the factors 7964,9562 . The biggest common factor number is the GCF number.
So the greatest common factor 7964,9562 is 2.
Lets's calculate LCM of 484,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 265716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/265716
Therefore, the GCF of Fractions 7964/484,9562/549 is 2/265716
Least Common Multiple of 484,549 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 484,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,549) x common factors =1 x 1 = 1
LCM(484,549) = ( 484 × 549 ) / 1
LCM(484,549) = 265716 / 1
LCM(484,549) = 265716
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7964/484, 9562/549
1. What is the HCF of 7964,9562?
The HCF of 7964,9562 is 2
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 7964/484, 9562/549?
Answer: GCF of Numerators as per given numbers 7964/484, 9562/549 is
GCF of Numerators i.e. for 7964,9562 is 2
LCM of denominators i.e. for 484,549 is 265716.
Thus, GCF of Fractions is 2/265716.Finally, GCF of Fractions for 7964/484, 9562/549 is 2/265716.