GCF of 3092/410, 5138/7616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3092/410, 5138/7616 i.e 2/1561280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3092/410, 5138/7616.
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 3092/410,5138/7616?
Given fractions are 3092/410,5138/7616
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 3092/410,5138/7616, numerators are 3092,5138
Denominators are 410,7616
The GCF of 3092,5138 is 2 .
LCM of 410,7616 is 1561280.
The greatest common factor of 3092/410,5138/7616 = [GCF of 3092,5138]/[LCM of 410,7616]= 2/1561280
Therefore, the GCF of 3092/410,5138/7616 is 2/1561280.
To find the highest common factor of 3092,5138, we have to find the factors of both numbers and list the highest common factor.
The factors of 3092 are 1, 2, 4, 773, 1546, 3092
The factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138
The HCF of 3092,5138 is 2.
Lets's calculate GCF of 3092,5138
| 2 | 3092, 5138 |
| 1546, 2569 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3092,5138 By Matching Biggest Common Factor Method
Now, list down the factors of 3092
:1,2,4,773,1546,3092
Now, list down the factors of 5138
:1,2,7,14,367,734,2569,5138
Greatest Common Factor
We found the factors 3092,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 3092,5138 is 2.
Lets's calculate LCM of 410,7616
| 2 | 410, 7616 |
| 205, 3808 |
∴ So the LCM of the given numbers is 2 x 205 x 3808 = 1561280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1561280
Therefore, the GCF of Fractions 3092/410,5138/7616 is 2/1561280
Least Common Multiple of 410,7616 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 410,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,7616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,7616) x common factors =2 x 1 = 2
LCM(410,7616) = ( 410 × 7616 ) / 2
LCM(410,7616) = 3122560 / 2
LCM(410,7616) = 1561280
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FAQs on GCF of Fractions of 3092/410, 5138/7616
1. What is the HCF of 3092,5138?
The HCF of 3092,5138 is 2
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 3092/410, 5138/7616?
Answer: GCF of Numerators as per given numbers 3092/410, 5138/7616 is
GCF of Numerators i.e. for 3092,5138 is 2
LCM of denominators i.e. for 410,7616 is 1561280.
Thus, GCF of Fractions is 2/1561280.Finally, GCF of Fractions for 3092/410, 5138/7616 is 2/1561280.