GCF of 7230/700, 3131/7960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7230/700, 3131/7960 i.e 1/278600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7230/700, 3131/7960.
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 7230/700,3131/7960?
Given fractions are 7230/700,3131/7960
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 7230/700,3131/7960, numerators are 7230,3131
Denominators are 700,7960
The GCF of 7230,3131 is 1 .
LCM of 700,7960 is 278600.
The greatest common factor of 7230/700,3131/7960 = [GCF of 7230,3131]/[LCM of 700,7960]= 1/278600
Therefore, the GCF of 7230/700,3131/7960 is 1/278600.
To find the highest common factor of 7230,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 7230 are 1, 2, 3, 5, 6, 10, 15, 30, 241, 482, 723, 1205, 1446, 2410, 3615, 7230
The factors of 3131 are 1, 31, 101, 3131
The HCF of 7230,3131 is 1.
Lets's calculate GCF of 7230,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7230,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 7230
:1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 7230,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 7230,3131 is 1.
Lets's calculate LCM of 700,7960
| 2 | 700, 7960 |
| 2 | 350, 3980 |
| 5 | 175, 1990 |
| 35, 398 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 35 x 398 = 278600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278600
Therefore, the GCF of Fractions 7230/700,3131/7960 is 1/278600
Least Common Multiple of 700,7960 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 700,7960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,7960) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(700,7960) x common factors =20 x 1 = 20
LCM(700,7960) = ( 700 × 7960 ) / 20
LCM(700,7960) = 5572000 / 20
LCM(700,7960) = 278600
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FAQs on GCF of Fractions of 7230/700, 3131/7960
1. What is the HCF of 7230,3131?
The HCF of 7230,3131 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 7230/700, 3131/7960?
Answer: GCF of Numerators as per given numbers 7230/700, 3131/7960 is
GCF of Numerators i.e. for 7230,3131 is 1
LCM of denominators i.e. for 700,7960 is 278600.
Thus, GCF of Fractions is 1/278600.Finally, GCF of Fractions for 7230/700, 3131/7960 is 1/278600.