GCF of 6748/975, 5908/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6748/975, 5908/735 i.e 28/47775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6748/975, 5908/735.
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 6748/975,5908/735?
Given fractions are 6748/975,5908/735
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 6748/975,5908/735, numerators are 6748,5908
Denominators are 975,735
The GCF of 6748,5908 is 28 .
LCM of 975,735 is 47775.
The greatest common factor of 6748/975,5908/735 = [GCF of 6748,5908]/[LCM of 975,735]= 28/47775
Therefore, the GCF of 6748/975,5908/735 is 28/47775.
To find the highest common factor of 6748,5908, we have to find the factors of both numbers and list the highest common factor.
The factors of 6748 are 1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748
The factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908
The HCF of 6748,5908 is 28.
Lets's calculate GCF of 6748,5908
| 2 | 6748, 5908 |
| 2 | 3374, 2954 |
| 7 | 1687, 1477 |
| 241, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 6748,5908 By Matching Biggest Common Factor Method
Now, list down the factors of 6748
:1,2,4,7,14,28,241,482,964,1687,3374,6748
Now, list down the factors of 5908
:1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 6748,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 6748,5908 is 28.
Lets's calculate LCM of 975,735
| 3 | 975, 735 |
| 5 | 325, 245 |
| 65, 49 |
∴ So the LCM of the given numbers is 3 x 5 x 65 x 49 = 47775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/47775
Therefore, the GCF of Fractions 6748/975,5908/735 is 28/47775
Least Common Multiple of 975,735 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 975,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,735) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(975,735) x common factors =15 x 1 = 15
LCM(975,735) = ( 975 × 735 ) / 15
LCM(975,735) = 716625 / 15
LCM(975,735) = 47775
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FAQs on GCF of Fractions of 6748/975, 5908/735
1. What is the HCF of 6748,5908?
The HCF of 6748,5908 is 28
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 6748/975, 5908/735?
Answer: GCF of Numerators as per given numbers 6748/975, 5908/735 is
GCF of Numerators i.e. for 6748,5908 is 28
LCM of denominators i.e. for 975,735 is 47775.
Thus, GCF of Fractions is 28/47775.Finally, GCF of Fractions for 6748/975, 5908/735 is 28/47775.