GCF of 4445/292, 7699/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4445/292, 7699/778 i.e 1/113588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4445/292, 7699/778.
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 4445/292,7699/778?
Given fractions are 4445/292,7699/778
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 4445/292,7699/778, numerators are 4445,7699
Denominators are 292,778
The GCF of 4445,7699 is 1 .
LCM of 292,778 is 113588.
The greatest common factor of 4445/292,7699/778 = [GCF of 4445,7699]/[LCM of 292,778]= 1/113588
Therefore, the GCF of 4445/292,7699/778 is 1/113588.
To find the highest common factor of 4445,7699, we have to find the factors of both numbers and list the highest common factor.
The factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445
The factors of 7699 are 1, 7699
The HCF of 4445,7699 is 1.
Lets's calculate GCF of 4445,7699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4445,7699 By Matching Biggest Common Factor Method
Now, list down the factors of 4445
:1,5,7,35,127,635,889,4445
Now, list down the factors of 7699
:1,7699
Greatest Common Factor
We found the factors 4445,7699 . The biggest common factor number is the GCF number.
So the greatest common factor 4445,7699 is 1.
Lets's calculate LCM of 292,778
| 2 | 292, 778 |
| 146, 389 |
∴ So the LCM of the given numbers is 2 x 146 x 389 = 113588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113588
Therefore, the GCF of Fractions 4445/292,7699/778 is 1/113588
Least Common Multiple of 292,778 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 292,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,778) x common factors =2 x 1 = 2
LCM(292,778) = ( 292 × 778 ) / 2
LCM(292,778) = 227176 / 2
LCM(292,778) = 113588
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FAQs on GCF of Fractions of 4445/292, 7699/778
1. What is the HCF of 4445,7699?
The HCF of 4445,7699 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 4445/292, 7699/778?
Answer: GCF of Numerators as per given numbers 4445/292, 7699/778 is
GCF of Numerators i.e. for 4445,7699 is 1
LCM of denominators i.e. for 292,778 is 113588.
Thus, GCF of Fractions is 1/113588.Finally, GCF of Fractions for 4445/292, 7699/778 is 1/113588.