GCF of 7122/498, 3087/7700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7122/498, 3087/7700 i.e 3/1917300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7122/498, 3087/7700.
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 7122/498,3087/7700?
Given fractions are 7122/498,3087/7700
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 7122/498,3087/7700, numerators are 7122,3087
Denominators are 498,7700
The GCF of 7122,3087 is 3 .
LCM of 498,7700 is 1917300.
The greatest common factor of 7122/498,3087/7700 = [GCF of 7122,3087]/[LCM of 498,7700]= 3/1917300
Therefore, the GCF of 7122/498,3087/7700 is 3/1917300.
To find the highest common factor of 7122,3087, we have to find the factors of both numbers and list the highest common factor.
The factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122
The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
The HCF of 7122,3087 is 3.
Lets's calculate GCF of 7122,3087
| 3 | 7122, 3087 |
| 2374, 1029 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7122,3087 By Matching Biggest Common Factor Method
Now, list down the factors of 7122
:1,2,3,6,1187,2374,3561,7122
Now, list down the factors of 3087
:1,3,7,9,21,49,63,147,343,441,1029,3087
Greatest Common Factor
We found the factors 7122,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 7122,3087 is 3.
Lets's calculate LCM of 498,7700
| 2 | 498, 7700 |
| 249, 3850 |
∴ So the LCM of the given numbers is 2 x 249 x 3850 = 1917300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1917300
Therefore, the GCF of Fractions 7122/498,3087/7700 is 3/1917300
Least Common Multiple of 498,7700 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 498,7700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,7700) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,7700) x common factors =2 x 1 = 2
LCM(498,7700) = ( 498 × 7700 ) / 2
LCM(498,7700) = 3834600 / 2
LCM(498,7700) = 1917300
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FAQs on GCF of Fractions of 7122/498, 3087/7700
1. What is the HCF of 7122,3087?
The HCF of 7122,3087 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 7122/498, 3087/7700?
Answer: GCF of Numerators as per given numbers 7122/498, 3087/7700 is
GCF of Numerators i.e. for 7122,3087 is 3
LCM of denominators i.e. for 498,7700 is 1917300.
Thus, GCF of Fractions is 3/1917300.Finally, GCF of Fractions for 7122/498, 3087/7700 is 3/1917300.