GCF of 4764/70, 3304/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4764/70, 3304/326 i.e 4/11410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4764/70, 3304/326.
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 4764/70,3304/326?
Given fractions are 4764/70,3304/326
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 4764/70,3304/326, numerators are 4764,3304
Denominators are 70,326
The GCF of 4764,3304 is 4 .
LCM of 70,326 is 11410.
The greatest common factor of 4764/70,3304/326 = [GCF of 4764,3304]/[LCM of 70,326]= 4/11410
Therefore, the GCF of 4764/70,3304/326 is 4/11410.
To find the highest common factor of 4764,3304, we have to find the factors of both numbers and list the highest common factor.
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304
The HCF of 4764,3304 is 4.
Lets's calculate GCF of 4764,3304
| 2 | 4764, 3304 |
| 2 | 2382, 1652 |
| 1191, 826 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4764,3304 By Matching Biggest Common Factor Method
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Now, list down the factors of 3304
:1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 4764,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,3304 is 4.
Lets's calculate LCM of 70,326
| 2 | 70, 326 |
| 35, 163 |
∴ So the LCM of the given numbers is 2 x 35 x 163 = 11410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11410
Therefore, the GCF of Fractions 4764/70,3304/326 is 4/11410
Least Common Multiple of 70,326 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 70,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,326) x common factors =2 x 1 = 2
LCM(70,326) = ( 70 × 326 ) / 2
LCM(70,326) = 22820 / 2
LCM(70,326) = 11410
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FAQs on GCF of Fractions of 4764/70, 3304/326
1. What is the HCF of 4764,3304?
The HCF of 4764,3304 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 4764/70, 3304/326?
Answer: GCF of Numerators as per given numbers 4764/70, 3304/326 is
GCF of Numerators i.e. for 4764,3304 is 4
LCM of denominators i.e. for 70,326 is 11410.
Thus, GCF of Fractions is 4/11410.Finally, GCF of Fractions for 4764/70, 3304/326 is 4/11410.