GCF of 1792/748, 7504/8877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1792/748, 7504/8877 i.e 112/603636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1792/748, 7504/8877.
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 1792/748,7504/8877?
Given fractions are 1792/748,7504/8877
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 1792/748,7504/8877, numerators are 1792,7504
Denominators are 748,8877
The GCF of 1792,7504 is 112 .
LCM of 748,8877 is 603636.
The greatest common factor of 1792/748,7504/8877 = [GCF of 1792,7504]/[LCM of 748,8877]= 112/603636
Therefore, the GCF of 1792/748,7504/8877 is 112/603636.
To find the highest common factor of 1792,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 1792,7504 is 112.
Lets's calculate GCF of 1792,7504
| 2 | 1792, 7504 |
| 2 | 896, 3752 |
| 2 | 448, 1876 |
| 2 | 224, 938 |
| 7 | 112, 469 |
| 16, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112
Greatest Common Factor of 1792,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 1792
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 1792,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 1792,7504 is 112.
Lets's calculate LCM of 748,8877
| 11 | 748, 8877 |
| 68, 807 |
∴ So the LCM of the given numbers is 11 x 68 x 807 = 603636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 112/603636
Therefore, the GCF of Fractions 1792/748,7504/8877 is 112/603636
Least Common Multiple of 748,8877 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 748,8877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8877) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8877) x common factors =11 x 1 = 11
LCM(748,8877) = ( 748 × 8877 ) / 11
LCM(748,8877) = 6639996 / 11
LCM(748,8877) = 603636
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FAQs on GCF of Fractions of 1792/748, 7504/8877
1. What is the HCF of 1792,7504?
The HCF of 1792,7504 is 112
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 1792/748, 7504/8877?
Answer: GCF of Numerators as per given numbers 1792/748, 7504/8877 is
GCF of Numerators i.e. for 1792,7504 is 112
LCM of denominators i.e. for 748,8877 is 603636.
Thus, GCF of Fractions is 112/603636.Finally, GCF of Fractions for 1792/748, 7504/8877 is 112/603636.