GCF of 2476/940, 8304/7170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2476/940, 8304/7170 i.e 4/673980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2476/940, 8304/7170.
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 2476/940,8304/7170?
Given fractions are 2476/940,8304/7170
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 2476/940,8304/7170, numerators are 2476,8304
Denominators are 940,7170
The GCF of 2476,8304 is 4 .
LCM of 940,7170 is 673980.
The greatest common factor of 2476/940,8304/7170 = [GCF of 2476,8304]/[LCM of 940,7170]= 4/673980
Therefore, the GCF of 2476/940,8304/7170 is 4/673980.
To find the highest common factor of 2476,8304, we have to find the factors of both numbers and list the highest common factor.
The factors of 2476 are 1, 2, 4, 619, 1238, 2476
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The HCF of 2476,8304 is 4.
Lets's calculate GCF of 2476,8304
| 2 | 2476, 8304 |
| 2 | 1238, 4152 |
| 619, 2076 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2476,8304 By Matching Biggest Common Factor Method
Now, list down the factors of 2476
:1,2,4,619,1238,2476
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Greatest Common Factor
We found the factors 2476,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,8304 is 4.
Lets's calculate LCM of 940,7170
| 2 | 940, 7170 |
| 5 | 470, 3585 |
| 94, 717 |
∴ So the LCM of the given numbers is 2 x 5 x 94 x 717 = 673980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/673980
Therefore, the GCF of Fractions 2476/940,8304/7170 is 4/673980
Least Common Multiple of 940,7170 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 940,7170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,7170) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(940,7170) x common factors =10 x 1 = 10
LCM(940,7170) = ( 940 × 7170 ) / 10
LCM(940,7170) = 6739800 / 10
LCM(940,7170) = 673980
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FAQs on GCF of Fractions of 2476/940, 8304/7170
1. What is the HCF of 2476,8304?
The HCF of 2476,8304 is 4
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 2476/940, 8304/7170?
Answer: GCF of Numerators as per given numbers 2476/940, 8304/7170 is
GCF of Numerators i.e. for 2476,8304 is 4
LCM of denominators i.e. for 940,7170 is 673980.
Thus, GCF of Fractions is 4/673980.Finally, GCF of Fractions for 2476/940, 8304/7170 is 4/673980.