GCF of 6125/735, 4438/8283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6125/735, 4438/8283 i.e 7/2029335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6125/735, 4438/8283.
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 6125/735,4438/8283?
Given fractions are 6125/735,4438/8283
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 6125/735,4438/8283, numerators are 6125,4438
Denominators are 735,8283
The GCF of 6125,4438 is 7 .
LCM of 735,8283 is 2029335.
The greatest common factor of 6125/735,4438/8283 = [GCF of 6125,4438]/[LCM of 735,8283]= 7/2029335
Therefore, the GCF of 6125/735,4438/8283 is 7/2029335.
To find the highest common factor of 6125,4438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438
The HCF of 6125,4438 is 7.
Lets's calculate GCF of 6125,4438
| 7 | 6125, 4438 |
| 875, 634 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6125,4438 By Matching Biggest Common Factor Method
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Now, list down the factors of 4438
:1,2,7,14,317,634,2219,4438
Greatest Common Factor
We found the factors 6125,4438 . The biggest common factor number is the GCF number.
So the greatest common factor 6125,4438 is 7.
Lets's calculate LCM of 735,8283
| 3 | 735, 8283 |
| 245, 2761 |
∴ So the LCM of the given numbers is 3 x 245 x 2761 = 2029335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2029335
Therefore, the GCF of Fractions 6125/735,4438/8283 is 7/2029335
Least Common Multiple of 735,8283 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 735,8283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,8283) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,8283) x common factors =3 x 1 = 3
LCM(735,8283) = ( 735 × 8283 ) / 3
LCM(735,8283) = 6088005 / 3
LCM(735,8283) = 2029335
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FAQs on GCF of Fractions of 6125/735, 4438/8283
1. What is the HCF of 6125,4438?
The HCF of 6125,4438 is 7
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 6125/735, 4438/8283?
Answer: GCF of Numerators as per given numbers 6125/735, 4438/8283 is
GCF of Numerators i.e. for 6125,4438 is 7
LCM of denominators i.e. for 735,8283 is 2029335.
Thus, GCF of Fractions is 7/2029335.Finally, GCF of Fractions for 6125/735, 4438/8283 is 7/2029335.