GCF of 2463/892, 2937/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2463/892, 2937/7074 i.e 3/3155004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2463/892, 2937/7074.
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 2463/892,2937/7074?
Given fractions are 2463/892,2937/7074
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 2463/892,2937/7074, numerators are 2463,2937
Denominators are 892,7074
The GCF of 2463,2937 is 3 .
LCM of 892,7074 is 3155004.
The greatest common factor of 2463/892,2937/7074 = [GCF of 2463,2937]/[LCM of 892,7074]= 3/3155004
Therefore, the GCF of 2463/892,2937/7074 is 3/3155004.
To find the highest common factor of 2463,2937, we have to find the factors of both numbers and list the highest common factor.
The factors of 2463 are 1, 3, 821, 2463
The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937
The HCF of 2463,2937 is 3.
Lets's calculate GCF of 2463,2937
| 3 | 2463, 2937 |
| 821, 979 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2463,2937 By Matching Biggest Common Factor Method
Now, list down the factors of 2463
:1,3,821,2463
Now, list down the factors of 2937
:1,3,11,33,89,267,979,2937
Greatest Common Factor
We found the factors 2463,2937 . The biggest common factor number is the GCF number.
So the greatest common factor 2463,2937 is 3.
Lets's calculate LCM of 892,7074
| 2 | 892, 7074 |
| 446, 3537 |
∴ So the LCM of the given numbers is 2 x 446 x 3537 = 3155004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3155004
Therefore, the GCF of Fractions 2463/892,2937/7074 is 3/3155004
Least Common Multiple of 892,7074 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 892,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,7074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,7074) x common factors =2 x 1 = 2
LCM(892,7074) = ( 892 × 7074 ) / 2
LCM(892,7074) = 6310008 / 2
LCM(892,7074) = 3155004
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FAQs on GCF of Fractions of 2463/892, 2937/7074
1. What is the HCF of 2463,2937?
The HCF of 2463,2937 is 3
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 2463/892, 2937/7074?
Answer: GCF of Numerators as per given numbers 2463/892, 2937/7074 is
GCF of Numerators i.e. for 2463,2937 is 3
LCM of denominators i.e. for 892,7074 is 3155004.
Thus, GCF of Fractions is 3/3155004.Finally, GCF of Fractions for 2463/892, 2937/7074 is 3/3155004.