GCF of 4824/752, 7068/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4824/752, 7068/270 i.e 12/101520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4824/752, 7068/270.
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 4824/752,7068/270?
Given fractions are 4824/752,7068/270
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 4824/752,7068/270, numerators are 4824,7068
Denominators are 752,270
The GCF of 4824,7068 is 12 .
LCM of 752,270 is 101520.
The greatest common factor of 4824/752,7068/270 = [GCF of 4824,7068]/[LCM of 752,270]= 12/101520
Therefore, the GCF of 4824/752,7068/270 is 12/101520.
To find the highest common factor of 4824,7068, we have to find the factors of both numbers and list the highest common factor.
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
The HCF of 4824,7068 is 12.
Lets's calculate GCF of 4824,7068
| 2 | 4824, 7068 |
| 2 | 2412, 3534 |
| 3 | 1206, 1767 |
| 402, 589 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4824,7068 By Matching Biggest Common Factor Method
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Now, list down the factors of 7068
:1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068
Greatest Common Factor
We found the factors 4824,7068 . The biggest common factor number is the GCF number.
So the greatest common factor 4824,7068 is 12.
Lets's calculate LCM of 752,270
| 2 | 752, 270 |
| 376, 135 |
∴ So the LCM of the given numbers is 2 x 376 x 135 = 101520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/101520
Therefore, the GCF of Fractions 4824/752,7068/270 is 12/101520
Least Common Multiple of 752,270 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 752,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,270) x common factors =2 x 1 = 2
LCM(752,270) = ( 752 × 270 ) / 2
LCM(752,270) = 203040 / 2
LCM(752,270) = 101520
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FAQs on GCF of Fractions of 4824/752, 7068/270
1. What is the HCF of 4824,7068?
The HCF of 4824,7068 is 12
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 4824/752, 7068/270?
Answer: GCF of Numerators as per given numbers 4824/752, 7068/270 is
GCF of Numerators i.e. for 4824,7068 is 12
LCM of denominators i.e. for 752,270 is 101520.
Thus, GCF of Fractions is 12/101520.Finally, GCF of Fractions for 4824/752, 7068/270 is 12/101520.