GCF of 7266/874, 2783/4829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7266/874, 2783/4829 i.e 1/4220546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7266/874, 2783/4829.
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 7266/874,2783/4829?
Given fractions are 7266/874,2783/4829
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 7266/874,2783/4829, numerators are 7266,2783
Denominators are 874,4829
The GCF of 7266,2783 is 1 .
LCM of 874,4829 is 4220546.
The greatest common factor of 7266/874,2783/4829 = [GCF of 7266,2783]/[LCM of 874,4829]= 1/4220546
Therefore, the GCF of 7266/874,2783/4829 is 1/4220546.
To find the highest common factor of 7266,2783, we have to find the factors of both numbers and list the highest common factor.
The factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266
The factors of 2783 are 1, 11, 23, 121, 253, 2783
The HCF of 7266,2783 is 1.
Lets's calculate GCF of 7266,2783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7266,2783 By Matching Biggest Common Factor Method
Now, list down the factors of 7266
:1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Now, list down the factors of 2783
:1,11,23,121,253,2783
Greatest Common Factor
We found the factors 7266,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 7266,2783 is 1.
Lets's calculate LCM of 874,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 4220546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4220546
Therefore, the GCF of Fractions 7266/874,2783/4829 is 1/4220546
Least Common Multiple of 874,4829 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 874,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,4829) x common factors =1 x 1 = 1
LCM(874,4829) = ( 874 × 4829 ) / 1
LCM(874,4829) = 4220546 / 1
LCM(874,4829) = 4220546
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FAQs on GCF of Fractions of 7266/874, 2783/4829
1. What is the HCF of 7266,2783?
The HCF of 7266,2783 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 7266/874, 2783/4829?
Answer: GCF of Numerators as per given numbers 7266/874, 2783/4829 is
GCF of Numerators i.e. for 7266,2783 is 1
LCM of denominators i.e. for 874,4829 is 4220546.
Thus, GCF of Fractions is 1/4220546.Finally, GCF of Fractions for 7266/874, 2783/4829 is 1/4220546.