GCF of 3504/239, 7373/847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3504/239, 7373/847 i.e 73/202433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3504/239, 7373/847.
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 3504/239,7373/847?
Given fractions are 3504/239,7373/847
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 3504/239,7373/847, numerators are 3504,7373
Denominators are 239,847
The GCF of 3504,7373 is 73 .
LCM of 239,847 is 202433.
The greatest common factor of 3504/239,7373/847 = [GCF of 3504,7373]/[LCM of 239,847]= 73/202433
Therefore, the GCF of 3504/239,7373/847 is 73/202433.
To find the highest common factor of 3504,7373, 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 7373 are 1, 73, 101, 7373
The HCF of 3504,7373 is 73.
Lets's calculate GCF of 3504,7373
| 73 | 3504, 7373 |
| 48, 101 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 3504,7373 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 7373
:1,73,101,7373
Greatest Common Factor
We found the factors 3504,7373 . The biggest common factor number is the GCF number.
So the greatest common factor 3504,7373 is 73.
Lets's calculate LCM of 239,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 202433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/202433
Therefore, the GCF of Fractions 3504/239,7373/847 is 73/202433
Least Common Multiple of 239,847 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 239,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,847) x common factors =1 x 1 = 1
LCM(239,847) = ( 239 × 847 ) / 1
LCM(239,847) = 202433 / 1
LCM(239,847) = 202433
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FAQs on GCF of Fractions of 3504/239, 7373/847
1. What is the HCF of 3504,7373?
The HCF of 3504,7373 is 73
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 3504/239, 7373/847?
Answer: GCF of Numerators as per given numbers 3504/239, 7373/847 is
GCF of Numerators i.e. for 3504,7373 is 73
LCM of denominators i.e. for 239,847 is 202433.
Thus, GCF of Fractions is 73/202433.Finally, GCF of Fractions for 3504/239, 7373/847 is 73/202433.