GCF of 9296/749, 3092/7868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9296/749, 3092/7868 i.e 4/841876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9296/749, 3092/7868.
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 9296/749,3092/7868?
Given fractions are 9296/749,3092/7868
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 9296/749,3092/7868, numerators are 9296,3092
Denominators are 749,7868
The GCF of 9296,3092 is 4 .
LCM of 749,7868 is 841876.
The greatest common factor of 9296/749,3092/7868 = [GCF of 9296,3092]/[LCM of 749,7868]= 4/841876
Therefore, the GCF of 9296/749,3092/7868 is 4/841876.
To find the highest common factor of 9296,3092, we have to find the factors of both numbers and list the highest common factor.
The factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296
The factors of 3092 are 1, 2, 4, 773, 1546, 3092
The HCF of 9296,3092 is 4.
Lets's calculate GCF of 9296,3092
| 2 | 9296, 3092 |
| 2 | 4648, 1546 |
| 2324, 773 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9296,3092 By Matching Biggest Common Factor Method
Now, list down the factors of 9296
:1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Now, list down the factors of 3092
:1,2,4,773,1546,3092
Greatest Common Factor
We found the factors 9296,3092 . The biggest common factor number is the GCF number.
So the greatest common factor 9296,3092 is 4.
Lets's calculate LCM of 749,7868
| 7 | 749, 7868 |
| 107, 1124 |
∴ So the LCM of the given numbers is 7 x 107 x 1124 = 841876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/841876
Therefore, the GCF of Fractions 9296/749,3092/7868 is 4/841876
Least Common Multiple of 749,7868 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 749,7868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,7868) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,7868) x common factors =7 x 1 = 7
LCM(749,7868) = ( 749 × 7868 ) / 7
LCM(749,7868) = 5893132 / 7
LCM(749,7868) = 841876
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FAQs on GCF of Fractions of 9296/749, 3092/7868
1. What is the HCF of 9296,3092?
The HCF of 9296,3092 is 4
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 9296/749, 3092/7868?
Answer: GCF of Numerators as per given numbers 9296/749, 3092/7868 is
GCF of Numerators i.e. for 9296,3092 is 4
LCM of denominators i.e. for 749,7868 is 841876.
Thus, GCF of Fractions is 4/841876.Finally, GCF of Fractions for 9296/749, 3092/7868 is 4/841876.