GCF of 1392/128, 7124/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1392/128, 7124/741 i.e 4/94848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1392/128, 7124/741.
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 1392/128,7124/741?
Given fractions are 1392/128,7124/741
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 1392/128,7124/741, numerators are 1392,7124
Denominators are 128,741
The GCF of 1392,7124 is 4 .
LCM of 128,741 is 94848.
The greatest common factor of 1392/128,7124/741 = [GCF of 1392,7124]/[LCM of 128,741]= 4/94848
Therefore, the GCF of 1392/128,7124/741 is 4/94848.
To find the highest common factor of 1392,7124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 1392,7124 is 4.
Lets's calculate GCF of 1392,7124
| 2 | 1392, 7124 |
| 2 | 696, 3562 |
| 348, 1781 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1392,7124 By Matching Biggest Common Factor Method
Now, list down the factors of 1392
:1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 1392,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,7124 is 4.
Lets's calculate LCM of 128,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 94848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94848
Therefore, the GCF of Fractions 1392/128,7124/741 is 4/94848
Least Common Multiple of 128,741 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 128,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,741) x common factors =1 x 1 = 1
LCM(128,741) = ( 128 × 741 ) / 1
LCM(128,741) = 94848 / 1
LCM(128,741) = 94848
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FAQs on GCF of Fractions of 1392/128, 7124/741
1. What is the HCF of 1392,7124?
The HCF of 1392,7124 is 4
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 1392/128, 7124/741?
Answer: GCF of Numerators as per given numbers 1392/128, 7124/741 is
GCF of Numerators i.e. for 1392,7124 is 4
LCM of denominators i.e. for 128,741 is 94848.
Thus, GCF of Fractions is 4/94848.Finally, GCF of Fractions for 1392/128, 7124/741 is 4/94848.