GCF of 3509/242, 8345/680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3509/242, 8345/680 i.e 1/82280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3509/242, 8345/680.
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 3509/242,8345/680?
Given fractions are 3509/242,8345/680
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 3509/242,8345/680, numerators are 3509,8345
Denominators are 242,680
The GCF of 3509,8345 is 1 .
LCM of 242,680 is 82280.
The greatest common factor of 3509/242,8345/680 = [GCF of 3509,8345]/[LCM of 242,680]= 1/82280
Therefore, the GCF of 3509/242,8345/680 is 1/82280.
To find the highest common factor of 3509,8345, we have to find the factors of both numbers and list the highest common factor.
The factors of 3509 are 1, 11, 29, 121, 319, 3509
The factors of 8345 are 1, 5, 1669, 8345
The HCF of 3509,8345 is 1.
Lets's calculate GCF of 3509,8345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3509,8345 By Matching Biggest Common Factor Method
Now, list down the factors of 3509
:1,11,29,121,319,3509
Now, list down the factors of 8345
:1,5,1669,8345
Greatest Common Factor
We found the factors 3509,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 3509,8345 is 1.
Lets's calculate LCM of 242,680
| 2 | 242, 680 |
| 121, 340 |
∴ So the LCM of the given numbers is 2 x 121 x 340 = 82280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82280
Therefore, the GCF of Fractions 3509/242,8345/680 is 1/82280
Least Common Multiple of 242,680 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 242,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,680) x common factors =2 x 1 = 2
LCM(242,680) = ( 242 × 680 ) / 2
LCM(242,680) = 164560 / 2
LCM(242,680) = 82280
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FAQs on GCF of Fractions of 3509/242, 8345/680
1. What is the HCF of 3509,8345?
The HCF of 3509,8345 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 3509/242, 8345/680?
Answer: GCF of Numerators as per given numbers 3509/242, 8345/680 is
GCF of Numerators i.e. for 3509,8345 is 1
LCM of denominators i.e. for 242,680 is 82280.
Thus, GCF of Fractions is 1/82280.Finally, GCF of Fractions for 3509/242, 8345/680 is 1/82280.