GCF of 7503/222, 8470/1972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7503/222, 8470/1972 i.e 1/218892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7503/222, 8470/1972.
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 7503/222,8470/1972?
Given fractions are 7503/222,8470/1972
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 7503/222,8470/1972, numerators are 7503,8470
Denominators are 222,1972
The GCF of 7503,8470 is 1 .
LCM of 222,1972 is 218892.
The greatest common factor of 7503/222,8470/1972 = [GCF of 7503,8470]/[LCM of 222,1972]= 1/218892
Therefore, the GCF of 7503/222,8470/1972 is 1/218892.
To find the highest common factor of 7503,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 7503,8470 is 1.
Lets's calculate GCF of 7503,8470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7503,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 7503
:1,3,41,61,123,183,2501,7503
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 7503,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 7503,8470 is 1.
Lets's calculate LCM of 222,1972
| 2 | 222, 1972 |
| 111, 986 |
∴ So the LCM of the given numbers is 2 x 111 x 986 = 218892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218892
Therefore, the GCF of Fractions 7503/222,8470/1972 is 1/218892
Least Common Multiple of 222,1972 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 222,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,1972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(222,1972) x common factors =2 x 1 = 2
LCM(222,1972) = ( 222 × 1972 ) / 2
LCM(222,1972) = 437784 / 2
LCM(222,1972) = 218892
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FAQs on GCF of Fractions of 7503/222, 8470/1972
1. What is the HCF of 7503,8470?
The HCF of 7503,8470 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 7503/222, 8470/1972?
Answer: GCF of Numerators as per given numbers 7503/222, 8470/1972 is
GCF of Numerators i.e. for 7503,8470 is 1
LCM of denominators i.e. for 222,1972 is 218892.
Thus, GCF of Fractions is 1/218892.Finally, GCF of Fractions for 7503/222, 8470/1972 is 1/218892.