GCF of 748/282, 3927/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 748/282, 3927/585 i.e 187/54990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 748/282, 3927/585.
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 748/282,3927/585?
Given fractions are 748/282,3927/585
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 748/282,3927/585, numerators are 748,3927
Denominators are 282,585
The GCF of 748,3927 is 187 .
LCM of 282,585 is 54990.
The greatest common factor of 748/282,3927/585 = [GCF of 748,3927]/[LCM of 282,585]= 187/54990
Therefore, the GCF of 748/282,3927/585 is 187/54990.
To find the highest common factor of 748,3927, we have to find the factors of both numbers and list the highest common factor.
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The HCF of 748,3927 is 187.
Lets's calculate GCF of 748,3927
| 11 | 748, 3927 |
| 17 | 68, 357 |
| 4, 21 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Greatest Common Factor of 748,3927 By Matching Biggest Common Factor Method
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Greatest Common Factor
We found the factors 748,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 748,3927 is 187.
Lets's calculate LCM of 282,585
| 3 | 282, 585 |
| 94, 195 |
∴ So the LCM of the given numbers is 3 x 94 x 195 = 54990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/54990
Therefore, the GCF of Fractions 748/282,3927/585 is 187/54990
Least Common Multiple of 282,585 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 282,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,585) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,585) x common factors =3 x 1 = 3
LCM(282,585) = ( 282 × 585 ) / 3
LCM(282,585) = 164970 / 3
LCM(282,585) = 54990
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FAQs on GCF of Fractions of 748/282, 3927/585
1. What is the HCF of 748,3927?
The HCF of 748,3927 is 187
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 748/282, 3927/585?
Answer: GCF of Numerators as per given numbers 748/282, 3927/585 is
GCF of Numerators i.e. for 748,3927 is 187
LCM of denominators i.e. for 282,585 is 54990.
Thus, GCF of Fractions is 187/54990.Finally, GCF of Fractions for 748/282, 3927/585 is 187/54990.