GCF of 4345/919, 7924/2709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4345/919, 7924/2709 i.e 1/2489571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4345/919, 7924/2709.
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 4345/919,7924/2709?
Given fractions are 4345/919,7924/2709
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 4345/919,7924/2709, numerators are 4345,7924
Denominators are 919,2709
The GCF of 4345,7924 is 1 .
LCM of 919,2709 is 2489571.
The greatest common factor of 4345/919,7924/2709 = [GCF of 4345,7924]/[LCM of 919,2709]= 1/2489571
Therefore, the GCF of 4345/919,7924/2709 is 1/2489571.
To find the highest common factor of 4345,7924, we have to find the factors of both numbers and list the highest common factor.
The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345
The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924
The HCF of 4345,7924 is 1.
Lets's calculate GCF of 4345,7924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4345,7924 By Matching Biggest Common Factor Method
Now, list down the factors of 4345
:1,5,11,55,79,395,869,4345
Now, list down the factors of 7924
:1,2,4,7,14,28,283,566,1132,1981,3962,7924
Greatest Common Factor
We found the factors 4345,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 4345,7924 is 1.
Lets's calculate LCM of 919,2709
Given numbers has no common factors except 1. So, there LCM is their product i.e 2489571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489571
Therefore, the GCF of Fractions 4345/919,7924/2709 is 1/2489571
Least Common Multiple of 919,2709 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 919,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,2709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,2709) x common factors =1 x 1 = 1
LCM(919,2709) = ( 919 × 2709 ) / 1
LCM(919,2709) = 2489571 / 1
LCM(919,2709) = 2489571
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FAQs on GCF of Fractions of 4345/919, 7924/2709
1. What is the HCF of 4345,7924?
The HCF of 4345,7924 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 4345/919, 7924/2709?
Answer: GCF of Numerators as per given numbers 4345/919, 7924/2709 is
GCF of Numerators i.e. for 4345,7924 is 1
LCM of denominators i.e. for 919,2709 is 2489571.
Thus, GCF of Fractions is 1/2489571.Finally, GCF of Fractions for 4345/919, 7924/2709 is 1/2489571.