GCF of 7978/287, 7120/1924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7978/287, 7120/1924 i.e 2/552188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7978/287, 7120/1924.
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 7978/287,7120/1924?
Given fractions are 7978/287,7120/1924
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 7978/287,7120/1924, numerators are 7978,7120
Denominators are 287,1924
The GCF of 7978,7120 is 2 .
LCM of 287,1924 is 552188.
The greatest common factor of 7978/287,7120/1924 = [GCF of 7978,7120]/[LCM of 287,1924]= 2/552188
Therefore, the GCF of 7978/287,7120/1924 is 2/552188.
To find the highest common factor of 7978,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7978 are 1, 2, 3989, 7978
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 7978,7120 is 2.
Lets's calculate GCF of 7978,7120
| 2 | 7978, 7120 |
| 3989, 3560 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7978,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 7978
:1,2,3989,7978
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 7978,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 7978,7120 is 2.
Lets's calculate LCM of 287,1924
Given numbers has no common factors except 1. So, there LCM is their product i.e 552188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552188
Therefore, the GCF of Fractions 7978/287,7120/1924 is 2/552188
Least Common Multiple of 287,1924 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 287,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,1924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,1924) x common factors =1 x 1 = 1
LCM(287,1924) = ( 287 × 1924 ) / 1
LCM(287,1924) = 552188 / 1
LCM(287,1924) = 552188
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FAQs on GCF of Fractions of 7978/287, 7120/1924
1. What is the HCF of 7978,7120?
The HCF of 7978,7120 is 2
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 7978/287, 7120/1924?
Answer: GCF of Numerators as per given numbers 7978/287, 7120/1924 is
GCF of Numerators i.e. for 7978,7120 is 2
LCM of denominators i.e. for 287,1924 is 552188.
Thus, GCF of Fractions is 2/552188.Finally, GCF of Fractions for 7978/287, 7120/1924 is 2/552188.