GCF of 245/88, 319/2724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/88, 319/2724 i.e 1/59928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/88, 319/2724.
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 245/88,319/2724?
Given fractions are 245/88,319/2724
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 245/88,319/2724, numerators are 245,319
Denominators are 88,2724
The GCF of 245,319 is 1 .
LCM of 88,2724 is 59928.
The greatest common factor of 245/88,319/2724 = [GCF of 245,319]/[LCM of 88,2724]= 1/59928
Therefore, the GCF of 245/88,319/2724 is 1/59928.
To find the highest common factor of 245,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 319 are 1, 11, 29, 319
The HCF of 245,319 is 1.
Lets's calculate GCF of 245,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 245,319 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 245,319 . The biggest common factor number is the GCF number.
So the greatest common factor 245,319 is 1.
Lets's calculate LCM of 88,2724
| 2 | 88, 2724 |
| 2 | 44, 1362 |
| 22, 681 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 681 = 59928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59928
Therefore, the GCF of Fractions 245/88,319/2724 is 1/59928
Least Common Multiple of 88,2724 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 88,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,2724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(88,2724) x common factors =4 x 1 = 4
LCM(88,2724) = ( 88 × 2724 ) / 4
LCM(88,2724) = 239712 / 4
LCM(88,2724) = 59928
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FAQs on GCF of Fractions of 245/88, 319/2724
1. What is the HCF of 245,319?
The HCF of 245,319 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 245/88, 319/2724?
Answer: GCF of Numerators as per given numbers 245/88, 319/2724 is
GCF of Numerators i.e. for 245,319 is 1
LCM of denominators i.e. for 88,2724 is 59928.
Thus, GCF of Fractions is 1/59928.Finally, GCF of Fractions for 245/88, 319/2724 is 1/59928.