GCF of 3076/245, 2959/7338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3076/245, 2959/7338 i.e 1/1797810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3076/245, 2959/7338.
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 3076/245,2959/7338?
Given fractions are 3076/245,2959/7338
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 3076/245,2959/7338, numerators are 3076,2959
Denominators are 245,7338
The GCF of 3076,2959 is 1 .
LCM of 245,7338 is 1797810.
The greatest common factor of 3076/245,2959/7338 = [GCF of 3076,2959]/[LCM of 245,7338]= 1/1797810
Therefore, the GCF of 3076/245,2959/7338 is 1/1797810.
To find the highest common factor of 3076,2959, we have to find the factors of both numbers and list the highest common factor.
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The factors of 2959 are 1, 11, 269, 2959
The HCF of 3076,2959 is 1.
Lets's calculate GCF of 3076,2959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3076,2959 By Matching Biggest Common Factor Method
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Now, list down the factors of 2959
:1,11,269,2959
Greatest Common Factor
We found the factors 3076,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 3076,2959 is 1.
Lets's calculate LCM of 245,7338
Given numbers has no common factors except 1. So, there LCM is their product i.e 1797810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1797810
Therefore, the GCF of Fractions 3076/245,2959/7338 is 1/1797810
Least Common Multiple of 245,7338 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 245,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,7338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,7338) x common factors =1 x 1 = 1
LCM(245,7338) = ( 245 × 7338 ) / 1
LCM(245,7338) = 1797810 / 1
LCM(245,7338) = 1797810
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FAQs on GCF of Fractions of 3076/245, 2959/7338
1. What is the HCF of 3076,2959?
The HCF of 3076,2959 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 3076/245, 2959/7338?
Answer: GCF of Numerators as per given numbers 3076/245, 2959/7338 is
GCF of Numerators i.e. for 3076,2959 is 1
LCM of denominators i.e. for 245,7338 is 1797810.
Thus, GCF of Fractions is 1/1797810.Finally, GCF of Fractions for 3076/245, 2959/7338 is 1/1797810.