GCF of 3504/294, 2751/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3504/294, 2751/219 i.e 3/21462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3504/294, 2751/219.
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 3504/294,2751/219?
Given fractions are 3504/294,2751/219
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 3504/294,2751/219, numerators are 3504,2751
Denominators are 294,219
The GCF of 3504,2751 is 3 .
LCM of 294,219 is 21462.
The greatest common factor of 3504/294,2751/219 = [GCF of 3504,2751]/[LCM of 294,219]= 3/21462
Therefore, the GCF of 3504/294,2751/219 is 3/21462.
To find the highest common factor of 3504,2751, we have to find the factors of both numbers and list the highest common factor.
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751
The HCF of 3504,2751 is 3.
Lets's calculate GCF of 3504,2751
| 3 | 3504, 2751 |
| 1168, 917 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3504,2751 By Matching Biggest Common Factor Method
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Now, list down the factors of 2751
:1,3,7,21,131,393,917,2751
Greatest Common Factor
We found the factors 3504,2751 . The biggest common factor number is the GCF number.
So the greatest common factor 3504,2751 is 3.
Lets's calculate LCM of 294,219
| 3 | 294, 219 |
| 98, 73 |
∴ So the LCM of the given numbers is 3 x 98 x 73 = 21462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21462
Therefore, the GCF of Fractions 3504/294,2751/219 is 3/21462
Least Common Multiple of 294,219 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 294,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,219) x common factors =3 x 1 = 3
LCM(294,219) = ( 294 × 219 ) / 3
LCM(294,219) = 64386 / 3
LCM(294,219) = 21462
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FAQs on GCF of Fractions of 3504/294, 2751/219
1. What is the HCF of 3504,2751?
The HCF of 3504,2751 is 3
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 3504/294, 2751/219?
Answer: GCF of Numerators as per given numbers 3504/294, 2751/219 is
GCF of Numerators i.e. for 3504,2751 is 3
LCM of denominators i.e. for 294,219 is 21462.
Thus, GCF of Fractions is 3/21462.Finally, GCF of Fractions for 3504/294, 2751/219 is 3/21462.