GCF of 2242/608, 9731/5111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2242/608, 9731/5111 i.e 1/163552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2242/608, 9731/5111.
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 2242/608,9731/5111?
Given fractions are 2242/608,9731/5111
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 2242/608,9731/5111, numerators are 2242,9731
Denominators are 608,5111
The GCF of 2242,9731 is 1 .
LCM of 608,5111 is 163552.
The greatest common factor of 2242/608,9731/5111 = [GCF of 2242,9731]/[LCM of 608,5111]= 1/163552
Therefore, the GCF of 2242/608,9731/5111 is 1/163552.
To find the highest common factor of 2242,9731, we have to find the factors of both numbers and list the highest common factor.
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The factors of 9731 are 1, 37, 263, 9731
The HCF of 2242,9731 is 1.
Lets's calculate GCF of 2242,9731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2242,9731 By Matching Biggest Common Factor Method
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Now, list down the factors of 9731
:1,37,263,9731
Greatest Common Factor
We found the factors 2242,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,9731 is 1.
Lets's calculate LCM of 608,5111
| 19 | 608, 5111 |
| 32, 269 |
∴ So the LCM of the given numbers is 19 x 32 x 269 = 163552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163552
Therefore, the GCF of Fractions 2242/608,9731/5111 is 1/163552
Least Common Multiple of 608,5111 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 608,5111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,5111) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(608,5111) x common factors =19 x 1 = 19
LCM(608,5111) = ( 608 × 5111 ) / 19
LCM(608,5111) = 3107488 / 19
LCM(608,5111) = 163552
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FAQs on GCF of Fractions of 2242/608, 9731/5111
1. What is the HCF of 2242,9731?
The HCF of 2242,9731 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 2242/608, 9731/5111?
Answer: GCF of Numerators as per given numbers 2242/608, 9731/5111 is
GCF of Numerators i.e. for 2242,9731 is 1
LCM of denominators i.e. for 608,5111 is 163552.
Thus, GCF of Fractions is 1/163552.Finally, GCF of Fractions for 2242/608, 9731/5111 is 1/163552.