GCF of 3148/948, 7542/8295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3148/948, 7542/8295 i.e 2/33180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3148/948, 7542/8295.
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 3148/948,7542/8295?
Given fractions are 3148/948,7542/8295
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 3148/948,7542/8295, numerators are 3148,7542
Denominators are 948,8295
The GCF of 3148,7542 is 2 .
LCM of 948,8295 is 33180.
The greatest common factor of 3148/948,7542/8295 = [GCF of 3148,7542]/[LCM of 948,8295]= 2/33180
Therefore, the GCF of 3148/948,7542/8295 is 2/33180.
To find the highest common factor of 3148,7542, we have to find the factors of both numbers and list the highest common factor.
The factors of 3148 are 1, 2, 4, 787, 1574, 3148
The factors of 7542 are 1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542
The HCF of 3148,7542 is 2.
Lets's calculate GCF of 3148,7542
| 2 | 3148, 7542 |
| 1574, 3771 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3148,7542 By Matching Biggest Common Factor Method
Now, list down the factors of 3148
:1,2,4,787,1574,3148
Now, list down the factors of 7542
:1,2,3,6,9,18,419,838,1257,2514,3771,7542
Greatest Common Factor
We found the factors 3148,7542 . The biggest common factor number is the GCF number.
So the greatest common factor 3148,7542 is 2.
Lets's calculate LCM of 948,8295
| 3 | 948, 8295 |
| 79 | 316, 2765 |
| 4, 35 |
∴ So the LCM of the given numbers is 3 x 79 x 4 x 35 = 33180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33180
Therefore, the GCF of Fractions 3148/948,7542/8295 is 2/33180
Least Common Multiple of 948,8295 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 948,8295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,8295) = 237
common factors(in case of two or more numbers have common factors) = 1
GCF(948,8295) x common factors =237 x 1 = 237
LCM(948,8295) = ( 948 × 8295 ) / 237
LCM(948,8295) = 7863660 / 237
LCM(948,8295) = 33180
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FAQs on GCF of Fractions of 3148/948, 7542/8295
1. What is the HCF of 3148,7542?
The HCF of 3148,7542 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 3148/948, 7542/8295?
Answer: GCF of Numerators as per given numbers 3148/948, 7542/8295 is
GCF of Numerators i.e. for 3148,7542 is 2
LCM of denominators i.e. for 948,8295 is 33180.
Thus, GCF of Fractions is 2/33180.Finally, GCF of Fractions for 3148/948, 7542/8295 is 2/33180.