GCF of 3295/305, 7800/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3295/305, 7800/135 i.e 5/8235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3295/305, 7800/135.
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 3295/305,7800/135?
Given fractions are 3295/305,7800/135
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 3295/305,7800/135, numerators are 3295,7800
Denominators are 305,135
The GCF of 3295,7800 is 5 .
LCM of 305,135 is 8235.
The greatest common factor of 3295/305,7800/135 = [GCF of 3295,7800]/[LCM of 305,135]= 5/8235
Therefore, the GCF of 3295/305,7800/135 is 5/8235.
To find the highest common factor of 3295,7800, we have to find the factors of both numbers and list the highest common factor.
The factors of 3295 are 1, 5, 659, 3295
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The HCF of 3295,7800 is 5.
Lets's calculate GCF of 3295,7800
| 5 | 3295, 7800 |
| 659, 1560 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3295,7800 By Matching Biggest Common Factor Method
Now, list down the factors of 3295
:1,5,659,3295
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Greatest Common Factor
We found the factors 3295,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 3295,7800 is 5.
Lets's calculate LCM of 305,135
| 5 | 305, 135 |
| 61, 27 |
∴ So the LCM of the given numbers is 5 x 61 x 27 = 8235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8235
Therefore, the GCF of Fractions 3295/305,7800/135 is 5/8235
Least Common Multiple of 305,135 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 305,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,135) x common factors =5 x 1 = 5
LCM(305,135) = ( 305 × 135 ) / 5
LCM(305,135) = 41175 / 5
LCM(305,135) = 8235
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FAQs on GCF of Fractions of 3295/305, 7800/135
1. What is the HCF of 3295,7800?
The HCF of 3295,7800 is 5
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 3295/305, 7800/135?
Answer: GCF of Numerators as per given numbers 3295/305, 7800/135 is
GCF of Numerators i.e. for 3295,7800 is 5
LCM of denominators i.e. for 305,135 is 8235.
Thus, GCF of Fractions is 5/8235.Finally, GCF of Fractions for 3295/305, 7800/135 is 5/8235.