GCF of 3140/649, 3509/6259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3140/649, 3509/6259 i.e 1/369281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/649, 3509/6259.
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 3140/649,3509/6259?
Given fractions are 3140/649,3509/6259
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 3140/649,3509/6259, numerators are 3140,3509
Denominators are 649,6259
The GCF of 3140,3509 is 1 .
LCM of 649,6259 is 369281.
The greatest common factor of 3140/649,3509/6259 = [GCF of 3140,3509]/[LCM of 649,6259]= 1/369281
Therefore, the GCF of 3140/649,3509/6259 is 1/369281.
To find the highest common factor of 3140,3509, we have to find the factors of both numbers and list the highest common factor.
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The factors of 3509 are 1, 11, 29, 121, 319, 3509
The HCF of 3140,3509 is 1.
Lets's calculate GCF of 3140,3509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3140,3509 By Matching Biggest Common Factor Method
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Now, list down the factors of 3509
:1,11,29,121,319,3509
Greatest Common Factor
We found the factors 3140,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,3509 is 1.
Lets's calculate LCM of 649,6259
| 11 | 649, 6259 |
| 59, 569 |
∴ So the LCM of the given numbers is 11 x 59 x 569 = 369281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369281
Therefore, the GCF of Fractions 3140/649,3509/6259 is 1/369281
Least Common Multiple of 649,6259 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 649,6259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,6259) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(649,6259) x common factors =11 x 1 = 11
LCM(649,6259) = ( 649 × 6259 ) / 11
LCM(649,6259) = 4062091 / 11
LCM(649,6259) = 369281
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FAQs on GCF of Fractions of 3140/649, 3509/6259
1. What is the HCF of 3140,3509?
The HCF of 3140,3509 is 1
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 3140/649, 3509/6259?
Answer: GCF of Numerators as per given numbers 3140/649, 3509/6259 is
GCF of Numerators i.e. for 3140,3509 is 1
LCM of denominators i.e. for 649,6259 is 369281.
Thus, GCF of Fractions is 1/369281.Finally, GCF of Fractions for 3140/649, 3509/6259 is 1/369281.