GCF of 7100/354, 2779/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7100/354, 2779/3144 i.e 1/185496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7100/354, 2779/3144.
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 7100/354,2779/3144?
Given fractions are 7100/354,2779/3144
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 7100/354,2779/3144, numerators are 7100,2779
Denominators are 354,3144
The GCF of 7100,2779 is 1 .
LCM of 354,3144 is 185496.
The greatest common factor of 7100/354,2779/3144 = [GCF of 7100,2779]/[LCM of 354,3144]= 1/185496
Therefore, the GCF of 7100/354,2779/3144 is 1/185496.
To find the highest common factor of 7100,2779, we have to find the factors of both numbers and list the highest common factor.
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The factors of 2779 are 1, 7, 397, 2779
The HCF of 7100,2779 is 1.
Lets's calculate GCF of 7100,2779
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7100,2779 By Matching Biggest Common Factor Method
Now, list down the factors of 7100
:1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Now, list down the factors of 2779
:1,7,397,2779
Greatest Common Factor
We found the factors 7100,2779 . The biggest common factor number is the GCF number.
So the greatest common factor 7100,2779 is 1.
Lets's calculate LCM of 354,3144
| 2 | 354, 3144 |
| 3 | 177, 1572 |
| 59, 524 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 524 = 185496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185496
Therefore, the GCF of Fractions 7100/354,2779/3144 is 1/185496
Least Common Multiple of 354,3144 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 354,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,3144) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,3144) x common factors =6 x 1 = 6
LCM(354,3144) = ( 354 × 3144 ) / 6
LCM(354,3144) = 1112976 / 6
LCM(354,3144) = 185496
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FAQs on GCF of Fractions of 7100/354, 2779/3144
1. What is the HCF of 7100,2779?
The HCF of 7100,2779 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 7100/354, 2779/3144?
Answer: GCF of Numerators as per given numbers 7100/354, 2779/3144 is
GCF of Numerators i.e. for 7100,2779 is 1
LCM of denominators i.e. for 354,3144 is 185496.
Thus, GCF of Fractions is 1/185496.Finally, GCF of Fractions for 7100/354, 2779/3144 is 1/185496.