GCF of 5450/972, 9062/7694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5450/972, 9062/7694 i.e 2/3739284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5450/972, 9062/7694.
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 5450/972,9062/7694?
Given fractions are 5450/972,9062/7694
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 5450/972,9062/7694, numerators are 5450,9062
Denominators are 972,7694
The GCF of 5450,9062 is 2 .
LCM of 972,7694 is 3739284.
The greatest common factor of 5450/972,9062/7694 = [GCF of 5450,9062]/[LCM of 972,7694]= 2/3739284
Therefore, the GCF of 5450/972,9062/7694 is 2/3739284.
To find the highest common factor of 5450,9062, we have to find the factors of both numbers and list the highest common factor.
The factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The HCF of 5450,9062 is 2.
Lets's calculate GCF of 5450,9062
| 2 | 5450, 9062 |
| 2725, 4531 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5450,9062 By Matching Biggest Common Factor Method
Now, list down the factors of 5450
:1,2,5,10,25,50,109,218,545,1090,2725,5450
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Greatest Common Factor
We found the factors 5450,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,9062 is 2.
Lets's calculate LCM of 972,7694
| 2 | 972, 7694 |
| 486, 3847 |
∴ So the LCM of the given numbers is 2 x 486 x 3847 = 3739284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3739284
Therefore, the GCF of Fractions 5450/972,9062/7694 is 2/3739284
Least Common Multiple of 972,7694 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 972,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,7694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,7694) x common factors =2 x 1 = 2
LCM(972,7694) = ( 972 × 7694 ) / 2
LCM(972,7694) = 7478568 / 2
LCM(972,7694) = 3739284
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FAQs on GCF of Fractions of 5450/972, 9062/7694
1. What is the HCF of 5450,9062?
The HCF of 5450,9062 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 5450/972, 9062/7694?
Answer: GCF of Numerators as per given numbers 5450/972, 9062/7694 is
GCF of Numerators i.e. for 5450,9062 is 2
LCM of denominators i.e. for 972,7694 is 3739284.
Thus, GCF of Fractions is 2/3739284.Finally, GCF of Fractions for 5450/972, 9062/7694 is 2/3739284.