GCF of 248/740, 7008/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 248/740, 7008/752 i.e 8/139120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/740, 7008/752.
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 248/740,7008/752?
Given fractions are 248/740,7008/752
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 248/740,7008/752, numerators are 248,7008
Denominators are 740,752
The GCF of 248,7008 is 8 .
LCM of 740,752 is 139120.
The greatest common factor of 248/740,7008/752 = [GCF of 248,7008]/[LCM of 740,752]= 8/139120
Therefore, the GCF of 248/740,7008/752 is 8/139120.
To find the highest common factor of 248,7008, we have to find the factors of both numbers and list the highest common factor.
The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The HCF of 248,7008 is 8.
Lets's calculate GCF of 248,7008
| 2 | 248, 7008 |
| 2 | 124, 3504 |
| 2 | 62, 1752 |
| 31, 876 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 248,7008 By Matching Biggest Common Factor Method
Now, list down the factors of 248
:1,2,4,8,31,62,124,248
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Greatest Common Factor
We found the factors 248,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 248,7008 is 8.
Lets's calculate LCM of 740,752
| 2 | 740, 752 |
| 2 | 370, 376 |
| 185, 188 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 188 = 139120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/139120
Therefore, the GCF of Fractions 248/740,7008/752 is 8/139120
Least Common Multiple of 740,752 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 740,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,752) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,752) x common factors =4 x 1 = 4
LCM(740,752) = ( 740 × 752 ) / 4
LCM(740,752) = 556480 / 4
LCM(740,752) = 139120
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FAQs on GCF of Fractions of 248/740, 7008/752
1. What is the HCF of 248,7008?
The HCF of 248,7008 is 8
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 248/740, 7008/752?
Answer: GCF of Numerators as per given numbers 248/740, 7008/752 is
GCF of Numerators i.e. for 248,7008 is 8
LCM of denominators i.e. for 740,752 is 139120.
Thus, GCF of Fractions is 8/139120.Finally, GCF of Fractions for 248/740, 7008/752 is 8/139120.