GCF of 2955/469, 7100/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2955/469, 7100/722 i.e 5/338618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2955/469, 7100/722.
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 2955/469,7100/722?
Given fractions are 2955/469,7100/722
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 2955/469,7100/722, numerators are 2955,7100
Denominators are 469,722
The GCF of 2955,7100 is 5 .
LCM of 469,722 is 338618.
The greatest common factor of 2955/469,7100/722 = [GCF of 2955,7100]/[LCM of 469,722]= 5/338618
Therefore, the GCF of 2955/469,7100/722 is 5/338618.
To find the highest common factor of 2955,7100, we have to find the factors of both numbers and list the highest common factor.
The factors of 2955 are 1, 3, 5, 15, 197, 591, 985, 2955
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The HCF of 2955,7100 is 5.
Lets's calculate GCF of 2955,7100
| 5 | 2955, 7100 |
| 591, 1420 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2955,7100 By Matching Biggest Common Factor Method
Now, list down the factors of 2955
:1,3,5,15,197,591,985,2955
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
Greatest Common Factor
We found the factors 2955,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 2955,7100 is 5.
Lets's calculate LCM of 469,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 338618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/338618
Therefore, the GCF of Fractions 2955/469,7100/722 is 5/338618
Least Common Multiple of 469,722 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 469,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,722) x common factors =1 x 1 = 1
LCM(469,722) = ( 469 × 722 ) / 1
LCM(469,722) = 338618 / 1
LCM(469,722) = 338618
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FAQs on GCF of Fractions of 2955/469, 7100/722
1. What is the HCF of 2955,7100?
The HCF of 2955,7100 is 5
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 2955/469, 7100/722?
Answer: GCF of Numerators as per given numbers 2955/469, 7100/722 is
GCF of Numerators i.e. for 2955,7100 is 5
LCM of denominators i.e. for 469,722 is 338618.
Thus, GCF of Fractions is 5/338618.Finally, GCF of Fractions for 2955/469, 7100/722 is 5/338618.