GCF of 3126/781, 7590/3772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3126/781, 7590/3772 i.e 6/2945932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3126/781, 7590/3772.
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 3126/781,7590/3772?
Given fractions are 3126/781,7590/3772
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 3126/781,7590/3772, numerators are 3126,7590
Denominators are 781,3772
The GCF of 3126,7590 is 6 .
LCM of 781,3772 is 2945932.
The greatest common factor of 3126/781,7590/3772 = [GCF of 3126,7590]/[LCM of 781,3772]= 6/2945932
Therefore, the GCF of 3126/781,7590/3772 is 6/2945932.
To find the highest common factor of 3126,7590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126
The factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
The HCF of 3126,7590 is 6.
Lets's calculate GCF of 3126,7590
| 2 | 3126, 7590 |
| 3 | 1563, 3795 |
| 521, 1265 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3126,7590 By Matching Biggest Common Factor Method
Now, list down the factors of 3126
:1,2,3,6,521,1042,1563,3126
Now, list down the factors of 7590
:1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors 3126,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 3126,7590 is 6.
Lets's calculate LCM of 781,3772
Given numbers has no common factors except 1. So, there LCM is their product i.e 2945932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2945932
Therefore, the GCF of Fractions 3126/781,7590/3772 is 6/2945932
Least Common Multiple of 781,3772 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 781,3772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,3772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,3772) x common factors =1 x 1 = 1
LCM(781,3772) = ( 781 × 3772 ) / 1
LCM(781,3772) = 2945932 / 1
LCM(781,3772) = 2945932
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FAQs on GCF of Fractions of 3126/781, 7590/3772
1. What is the HCF of 3126,7590?
The HCF of 3126,7590 is 6
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 3126/781, 7590/3772?
Answer: GCF of Numerators as per given numbers 3126/781, 7590/3772 is
GCF of Numerators i.e. for 3126,7590 is 6
LCM of denominators i.e. for 781,3772 is 2945932.
Thus, GCF of Fractions is 6/2945932.Finally, GCF of Fractions for 3126/781, 7590/3772 is 6/2945932.