GCF of 7144/145, 5472/6546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7144/145, 5472/6546 i.e 152/949170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7144/145, 5472/6546.
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 7144/145,5472/6546?
Given fractions are 7144/145,5472/6546
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 7144/145,5472/6546, numerators are 7144,5472
Denominators are 145,6546
The GCF of 7144,5472 is 152 .
LCM of 145,6546 is 949170.
The greatest common factor of 7144/145,5472/6546 = [GCF of 7144,5472]/[LCM of 145,6546]= 152/949170
Therefore, the GCF of 7144/145,5472/6546 is 152/949170.
To find the highest common factor of 7144,5472, we have to find the factors of both numbers and list the highest common factor.
The factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The HCF of 7144,5472 is 152.
Lets's calculate GCF of 7144,5472
| 2 | 7144, 5472 |
| 2 | 3572, 2736 |
| 2 | 1786, 1368 |
| 19 | 893, 684 |
| 47, 36 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152
Greatest Common Factor of 7144,5472 By Matching Biggest Common Factor Method
Now, list down the factors of 7144
:1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Greatest Common Factor
We found the factors 7144,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 7144,5472 is 152.
Lets's calculate LCM of 145,6546
Given numbers has no common factors except 1. So, there LCM is their product i.e 949170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 152/949170
Therefore, the GCF of Fractions 7144/145,5472/6546 is 152/949170
Least Common Multiple of 145,6546 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 145,6546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,6546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,6546) x common factors =1 x 1 = 1
LCM(145,6546) = ( 145 × 6546 ) / 1
LCM(145,6546) = 949170 / 1
LCM(145,6546) = 949170
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FAQs on GCF of Fractions of 7144/145, 5472/6546
1. What is the HCF of 7144,5472?
The HCF of 7144,5472 is 152
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 7144/145, 5472/6546?
Answer: GCF of Numerators as per given numbers 7144/145, 5472/6546 is
GCF of Numerators i.e. for 7144,5472 is 152
LCM of denominators i.e. for 145,6546 is 949170.
Thus, GCF of Fractions is 152/949170.Finally, GCF of Fractions for 7144/145, 5472/6546 is 152/949170.