GCF of 6503/548, 3192/2895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6503/548, 3192/2895 i.e 7/1586460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6503/548, 3192/2895.
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 6503/548,3192/2895?
Given fractions are 6503/548,3192/2895
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 6503/548,3192/2895, numerators are 6503,3192
Denominators are 548,2895
The GCF of 6503,3192 is 7 .
LCM of 548,2895 is 1586460.
The greatest common factor of 6503/548,3192/2895 = [GCF of 6503,3192]/[LCM of 548,2895]= 7/1586460
Therefore, the GCF of 6503/548,3192/2895 is 7/1586460.
To find the highest common factor of 6503,3192, we have to find the factors of both numbers and list the highest common factor.
The factors of 6503 are 1, 7, 929, 6503
The factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192
The HCF of 6503,3192 is 7.
Lets's calculate GCF of 6503,3192
| 7 | 6503, 3192 |
| 929, 456 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6503,3192 By Matching Biggest Common Factor Method
Now, list down the factors of 6503
:1,7,929,6503
Now, list down the factors of 3192
:1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors 6503,3192 . The biggest common factor number is the GCF number.
So the greatest common factor 6503,3192 is 7.
Lets's calculate LCM of 548,2895
Given numbers has no common factors except 1. So, there LCM is their product i.e 1586460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1586460
Therefore, the GCF of Fractions 6503/548,3192/2895 is 7/1586460
Least Common Multiple of 548,2895 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 548,2895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,2895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,2895) x common factors =1 x 1 = 1
LCM(548,2895) = ( 548 × 2895 ) / 1
LCM(548,2895) = 1586460 / 1
LCM(548,2895) = 1586460
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FAQs on GCF of Fractions of 6503/548, 3192/2895
1. What is the HCF of 6503,3192?
The HCF of 6503,3192 is 7
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 6503/548, 3192/2895?
Answer: GCF of Numerators as per given numbers 6503/548, 3192/2895 is
GCF of Numerators i.e. for 6503,3192 is 7
LCM of denominators i.e. for 548,2895 is 1586460.
Thus, GCF of Fractions is 7/1586460.Finally, GCF of Fractions for 6503/548, 3192/2895 is 7/1586460.