GCF of 3250/152, 1040/2944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3250/152, 1040/2944 i.e 130/55936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3250/152, 1040/2944.
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 3250/152,1040/2944?
Given fractions are 3250/152,1040/2944
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 3250/152,1040/2944, numerators are 3250,1040
Denominators are 152,2944
The GCF of 3250,1040 is 130 .
LCM of 152,2944 is 55936.
The greatest common factor of 3250/152,1040/2944 = [GCF of 3250,1040]/[LCM of 152,2944]= 130/55936
Therefore, the GCF of 3250/152,1040/2944 is 130/55936.
To find the highest common factor of 3250,1040, we have to find the factors of both numbers and list the highest common factor.
The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The HCF of 3250,1040 is 130.
Lets's calculate GCF of 3250,1040
| 2 | 3250, 1040 |
| 5 | 1625, 520 |
| 13 | 325, 104 |
| 25, 8 |
∴ So the GCF of the given numbers is 2 x 5 x 13 = 130
Greatest Common Factor of 3250,1040 By Matching Biggest Common Factor Method
Now, list down the factors of 3250
:1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 3250,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,1040 is 130.
Lets's calculate LCM of 152,2944
| 2 | 152, 2944 |
| 2 | 76, 1472 |
| 2 | 38, 736 |
| 19, 368 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 368 = 55936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/55936
Therefore, the GCF of Fractions 3250/152,1040/2944 is 130/55936
Least Common Multiple of 152,2944 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 152,2944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,2944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(152,2944) x common factors =8 x 1 = 8
LCM(152,2944) = ( 152 × 2944 ) / 8
LCM(152,2944) = 447488 / 8
LCM(152,2944) = 55936
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FAQs on GCF of Fractions of 3250/152, 1040/2944
1. What is the HCF of 3250,1040?
The HCF of 3250,1040 is 130
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 3250/152, 1040/2944?
Answer: GCF of Numerators as per given numbers 3250/152, 1040/2944 is
GCF of Numerators i.e. for 3250,1040 is 130
LCM of denominators i.e. for 152,2944 is 55936.
Thus, GCF of Fractions is 130/55936.Finally, GCF of Fractions for 3250/152, 1040/2944 is 130/55936.