GCF of 6370/903, 8974/7743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6370/903, 8974/7743 i.e 14/2330643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6370/903, 8974/7743.
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 6370/903,8974/7743?
Given fractions are 6370/903,8974/7743
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 6370/903,8974/7743, numerators are 6370,8974
Denominators are 903,7743
The GCF of 6370,8974 is 14 .
LCM of 903,7743 is 2330643.
The greatest common factor of 6370/903,8974/7743 = [GCF of 6370,8974]/[LCM of 903,7743]= 14/2330643
Therefore, the GCF of 6370/903,8974/7743 is 14/2330643.
To find the highest common factor of 6370,8974, we have to find the factors of both numbers and list the highest common factor.
The factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370
The factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974
The HCF of 6370,8974 is 14.
Lets's calculate GCF of 6370,8974
| 2 | 6370, 8974 |
| 7 | 3185, 4487 |
| 455, 641 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6370,8974 By Matching Biggest Common Factor Method
Now, list down the factors of 6370
:1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370
Now, list down the factors of 8974
:1,2,7,14,641,1282,4487,8974
Greatest Common Factor
We found the factors 6370,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 6370,8974 is 14.
Lets's calculate LCM of 903,7743
| 3 | 903, 7743 |
| 301, 2581 |
∴ So the LCM of the given numbers is 3 x 301 x 2581 = 2330643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2330643
Therefore, the GCF of Fractions 6370/903,8974/7743 is 14/2330643
Least Common Multiple of 903,7743 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 903,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,7743) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,7743) x common factors =3 x 1 = 3
LCM(903,7743) = ( 903 × 7743 ) / 3
LCM(903,7743) = 6991929 / 3
LCM(903,7743) = 2330643
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FAQs on GCF of Fractions of 6370/903, 8974/7743
1. What is the HCF of 6370,8974?
The HCF of 6370,8974 is 14
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 6370/903, 8974/7743?
Answer: GCF of Numerators as per given numbers 6370/903, 8974/7743 is
GCF of Numerators i.e. for 6370,8974 is 14
LCM of denominators i.e. for 903,7743 is 2330643.
Thus, GCF of Fractions is 14/2330643.Finally, GCF of Fractions for 6370/903, 8974/7743 is 14/2330643.