GCF of 290/310, 3407/8831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/310, 3407/8831 i.e 1/2737610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/310, 3407/8831.
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 290/310,3407/8831?
Given fractions are 290/310,3407/8831
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 290/310,3407/8831, numerators are 290,3407
Denominators are 310,8831
The GCF of 290,3407 is 1 .
LCM of 310,8831 is 2737610.
The greatest common factor of 290/310,3407/8831 = [GCF of 290,3407]/[LCM of 310,8831]= 1/2737610
Therefore, the GCF of 290/310,3407/8831 is 1/2737610.
To find the highest common factor of 290,3407, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 3407 are 1, 3407
The HCF of 290,3407 is 1.
Lets's calculate GCF of 290,3407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 290,3407 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 3407
:1,3407
Greatest Common Factor
We found the factors 290,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 290,3407 is 1.
Lets's calculate LCM of 310,8831
Given numbers has no common factors except 1. So, there LCM is their product i.e 2737610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2737610
Therefore, the GCF of Fractions 290/310,3407/8831 is 1/2737610
Least Common Multiple of 310,8831 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 310,8831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,8831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,8831) x common factors =1 x 1 = 1
LCM(310,8831) = ( 310 × 8831 ) / 1
LCM(310,8831) = 2737610 / 1
LCM(310,8831) = 2737610
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FAQs on GCF of Fractions of 290/310, 3407/8831
1. What is the HCF of 290,3407?
The HCF of 290,3407 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 290/310, 3407/8831?
Answer: GCF of Numerators as per given numbers 290/310, 3407/8831 is
GCF of Numerators i.e. for 290,3407 is 1
LCM of denominators i.e. for 310,8831 is 2737610.
Thus, GCF of Fractions is 1/2737610.Finally, GCF of Fractions for 290/310, 3407/8831 is 1/2737610.