GCF of 345/900, 5648/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 345/900, 5648/687 i.e 1/206100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 345/900, 5648/687.
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 345/900,5648/687?
Given fractions are 345/900,5648/687
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 345/900,5648/687, numerators are 345,5648
Denominators are 900,687
The GCF of 345,5648 is 1 .
LCM of 900,687 is 206100.
The greatest common factor of 345/900,5648/687 = [GCF of 345,5648]/[LCM of 900,687]= 1/206100
Therefore, the GCF of 345/900,5648/687 is 1/206100.
To find the highest common factor of 345,5648, we have to find the factors of both numbers and list the highest common factor.
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648
The HCF of 345,5648 is 1.
Lets's calculate GCF of 345,5648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 345,5648 By Matching Biggest Common Factor Method
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 5648
:1,2,4,8,16,353,706,1412,2824,5648
Greatest Common Factor
We found the factors 345,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 345,5648 is 1.
Lets's calculate LCM of 900,687
| 3 | 900, 687 |
| 300, 229 |
∴ So the LCM of the given numbers is 3 x 300 x 229 = 206100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206100
Therefore, the GCF of Fractions 345/900,5648/687 is 1/206100
Least Common Multiple of 900,687 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 900,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(900,687) x common factors =3 x 1 = 3
LCM(900,687) = ( 900 × 687 ) / 3
LCM(900,687) = 618300 / 3
LCM(900,687) = 206100
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FAQs on GCF of Fractions of 345/900, 5648/687
1. What is the HCF of 345,5648?
The HCF of 345,5648 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 345/900, 5648/687?
Answer: GCF of Numerators as per given numbers 345/900, 5648/687 is
GCF of Numerators i.e. for 345,5648 is 1
LCM of denominators i.e. for 900,687 is 206100.
Thus, GCF of Fractions is 1/206100.Finally, GCF of Fractions for 345/900, 5648/687 is 1/206100.