GCF of 5245/578, 4465/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5245/578, 4465/268 i.e 5/77452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5245/578, 4465/268.
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 5245/578,4465/268?
Given fractions are 5245/578,4465/268
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 5245/578,4465/268, numerators are 5245,4465
Denominators are 578,268
The GCF of 5245,4465 is 5 .
LCM of 578,268 is 77452.
The greatest common factor of 5245/578,4465/268 = [GCF of 5245,4465]/[LCM of 578,268]= 5/77452
Therefore, the GCF of 5245/578,4465/268 is 5/77452.
To find the highest common factor of 5245,4465, we have to find the factors of both numbers and list the highest common factor.
The factors of 5245 are 1, 5, 1049, 5245
The factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465
The HCF of 5245,4465 is 5.
Lets's calculate GCF of 5245,4465
| 5 | 5245, 4465 |
| 1049, 893 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5245,4465 By Matching Biggest Common Factor Method
Now, list down the factors of 5245
:1,5,1049,5245
Now, list down the factors of 4465
:1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 5245,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 5245,4465 is 5.
Lets's calculate LCM of 578,268
| 2 | 578, 268 |
| 289, 134 |
∴ So the LCM of the given numbers is 2 x 289 x 134 = 77452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/77452
Therefore, the GCF of Fractions 5245/578,4465/268 is 5/77452
Least Common Multiple of 578,268 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 578,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,268) x common factors =2 x 1 = 2
LCM(578,268) = ( 578 × 268 ) / 2
LCM(578,268) = 154904 / 2
LCM(578,268) = 77452
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FAQs on GCF of Fractions of 5245/578, 4465/268
1. What is the HCF of 5245,4465?
The HCF of 5245,4465 is 5
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 5245/578, 4465/268?
Answer: GCF of Numerators as per given numbers 5245/578, 4465/268 is
GCF of Numerators i.e. for 5245,4465 is 5
LCM of denominators i.e. for 578,268 is 77452.
Thus, GCF of Fractions is 5/77452.Finally, GCF of Fractions for 5245/578, 4465/268 is 5/77452.