GCF of 6274/864, 8374/7725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6274/864, 8374/7725 i.e 2/2224800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6274/864, 8374/7725.
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 6274/864,8374/7725?
Given fractions are 6274/864,8374/7725
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 6274/864,8374/7725, numerators are 6274,8374
Denominators are 864,7725
The GCF of 6274,8374 is 2 .
LCM of 864,7725 is 2224800.
The greatest common factor of 6274/864,8374/7725 = [GCF of 6274,8374]/[LCM of 864,7725]= 2/2224800
Therefore, the GCF of 6274/864,8374/7725 is 2/2224800.
To find the highest common factor of 6274,8374, we have to find the factors of both numbers and list the highest common factor.
The factors of 6274 are 1, 2, 3137, 6274
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The HCF of 6274,8374 is 2.
Lets's calculate GCF of 6274,8374
| 2 | 6274, 8374 |
| 3137, 4187 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6274,8374 By Matching Biggest Common Factor Method
Now, list down the factors of 6274
:1,2,3137,6274
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Greatest Common Factor
We found the factors 6274,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 6274,8374 is 2.
Lets's calculate LCM of 864,7725
| 3 | 864, 7725 |
| 288, 2575 |
∴ So the LCM of the given numbers is 3 x 288 x 2575 = 2224800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2224800
Therefore, the GCF of Fractions 6274/864,8374/7725 is 2/2224800
Least Common Multiple of 864,7725 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 864,7725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,7725) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(864,7725) x common factors =3 x 1 = 3
LCM(864,7725) = ( 864 × 7725 ) / 3
LCM(864,7725) = 6674400 / 3
LCM(864,7725) = 2224800
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FAQs on GCF of Fractions of 6274/864, 8374/7725
1. What is the HCF of 6274,8374?
The HCF of 6274,8374 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 6274/864, 8374/7725?
Answer: GCF of Numerators as per given numbers 6274/864, 8374/7725 is
GCF of Numerators i.e. for 6274,8374 is 2
LCM of denominators i.e. for 864,7725 is 2224800.
Thus, GCF of Fractions is 2/2224800.Finally, GCF of Fractions for 6274/864, 8374/7725 is 2/2224800.