GCF of 3119/920, 1872/4667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3119/920, 1872/4667 i.e 1/4293640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3119/920, 1872/4667.
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 3119/920,1872/4667?
Given fractions are 3119/920,1872/4667
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 3119/920,1872/4667, numerators are 3119,1872
Denominators are 920,4667
The GCF of 3119,1872 is 1 .
LCM of 920,4667 is 4293640.
The greatest common factor of 3119/920,1872/4667 = [GCF of 3119,1872]/[LCM of 920,4667]= 1/4293640
Therefore, the GCF of 3119/920,1872/4667 is 1/4293640.
To find the highest common factor of 3119,1872, we have to find the factors of both numbers and list the highest common factor.
The factors of 3119 are 1, 3119
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
The HCF of 3119,1872 is 1.
Lets's calculate GCF of 3119,1872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3119,1872 By Matching Biggest Common Factor Method
Now, list down the factors of 3119
:1,3119
Now, list down the factors of 1872
:1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Greatest Common Factor
We found the factors 3119,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 3119,1872 is 1.
Lets's calculate LCM of 920,4667
Given numbers has no common factors except 1. So, there LCM is their product i.e 4293640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4293640
Therefore, the GCF of Fractions 3119/920,1872/4667 is 1/4293640
Least Common Multiple of 920,4667 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 920,4667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,4667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(920,4667) x common factors =1 x 1 = 1
LCM(920,4667) = ( 920 × 4667 ) / 1
LCM(920,4667) = 4293640 / 1
LCM(920,4667) = 4293640
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FAQs on GCF of Fractions of 3119/920, 1872/4667
1. What is the HCF of 3119,1872?
The HCF of 3119,1872 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 3119/920, 1872/4667?
Answer: GCF of Numerators as per given numbers 3119/920, 1872/4667 is
GCF of Numerators i.e. for 3119,1872 is 1
LCM of denominators i.e. for 920,4667 is 4293640.
Thus, GCF of Fractions is 1/4293640.Finally, GCF of Fractions for 3119/920, 1872/4667 is 1/4293640.