GCF of 764/140, 9304/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 764/140, 9304/2782 i.e 4/194740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 764/140, 9304/2782.
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 764/140,9304/2782?
Given fractions are 764/140,9304/2782
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 764/140,9304/2782, numerators are 764,9304
Denominators are 140,2782
The GCF of 764,9304 is 4 .
LCM of 140,2782 is 194740.
The greatest common factor of 764/140,9304/2782 = [GCF of 764,9304]/[LCM of 140,2782]= 4/194740
Therefore, the GCF of 764/140,9304/2782 is 4/194740.
To find the highest common factor of 764,9304, we have to find the factors of both numbers and list the highest common factor.
The factors of 764 are 1, 2, 4, 191, 382, 764
The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The HCF of 764,9304 is 4.
Lets's calculate GCF of 764,9304
| 2 | 764, 9304 |
| 2 | 382, 4652 |
| 191, 2326 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 764,9304 By Matching Biggest Common Factor Method
Now, list down the factors of 764
:1,2,4,191,382,764
Now, list down the factors of 9304
:1,2,4,8,1163,2326,4652,9304
Greatest Common Factor
We found the factors 764,9304 . The biggest common factor number is the GCF number.
So the greatest common factor 764,9304 is 4.
Lets's calculate LCM of 140,2782
| 2 | 140, 2782 |
| 70, 1391 |
∴ So the LCM of the given numbers is 2 x 70 x 1391 = 194740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/194740
Therefore, the GCF of Fractions 764/140,9304/2782 is 4/194740
Least Common Multiple of 140,2782 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 140,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,2782) x common factors =2 x 1 = 2
LCM(140,2782) = ( 140 × 2782 ) / 2
LCM(140,2782) = 389480 / 2
LCM(140,2782) = 194740
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FAQs on GCF of Fractions of 764/140, 9304/2782
1. What is the HCF of 764,9304?
The HCF of 764,9304 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 764/140, 9304/2782?
Answer: GCF of Numerators as per given numbers 764/140, 9304/2782 is
GCF of Numerators i.e. for 764,9304 is 4
LCM of denominators i.e. for 140,2782 is 194740.
Thus, GCF of Fractions is 4/194740.Finally, GCF of Fractions for 764/140, 9304/2782 is 4/194740.