GCF of 5009/924, 2014/7890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5009/924, 2014/7890 i.e 1/1215060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5009/924, 2014/7890.
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 5009/924,2014/7890?
Given fractions are 5009/924,2014/7890
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 5009/924,2014/7890, numerators are 5009,2014
Denominators are 924,7890
The GCF of 5009,2014 is 1 .
LCM of 924,7890 is 1215060.
The greatest common factor of 5009/924,2014/7890 = [GCF of 5009,2014]/[LCM of 924,7890]= 1/1215060
Therefore, the GCF of 5009/924,2014/7890 is 1/1215060.
To find the highest common factor of 5009,2014, we have to find the factors of both numbers and list the highest common factor.
The factors of 5009 are 1, 5009
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014
The HCF of 5009,2014 is 1.
Lets's calculate GCF of 5009,2014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5009,2014 By Matching Biggest Common Factor Method
Now, list down the factors of 5009
:1,5009
Now, list down the factors of 2014
:1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 5009,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,2014 is 1.
Lets's calculate LCM of 924,7890
| 2 | 924, 7890 |
| 3 | 462, 3945 |
| 154, 1315 |
∴ So the LCM of the given numbers is 2 x 3 x 154 x 1315 = 1215060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215060
Therefore, the GCF of Fractions 5009/924,2014/7890 is 1/1215060
Least Common Multiple of 924,7890 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 924,7890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,7890) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(924,7890) x common factors =6 x 1 = 6
LCM(924,7890) = ( 924 × 7890 ) / 6
LCM(924,7890) = 7290360 / 6
LCM(924,7890) = 1215060
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FAQs on GCF of Fractions of 5009/924, 2014/7890
1. What is the HCF of 5009,2014?
The HCF of 5009,2014 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 5009/924, 2014/7890?
Answer: GCF of Numerators as per given numbers 5009/924, 2014/7890 is
GCF of Numerators i.e. for 5009,2014 is 1
LCM of denominators i.e. for 924,7890 is 1215060.
Thus, GCF of Fractions is 1/1215060.Finally, GCF of Fractions for 5009/924, 2014/7890 is 1/1215060.