GCF of 2548/532, 3066/7099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2548/532, 3066/7099 i.e 14/3776668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2548/532, 3066/7099.
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 2548/532,3066/7099?
Given fractions are 2548/532,3066/7099
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 2548/532,3066/7099, numerators are 2548,3066
Denominators are 532,7099
The GCF of 2548,3066 is 14 .
LCM of 532,7099 is 3776668.
The greatest common factor of 2548/532,3066/7099 = [GCF of 2548,3066]/[LCM of 532,7099]= 14/3776668
Therefore, the GCF of 2548/532,3066/7099 is 14/3776668.
To find the highest common factor of 2548,3066, we have to find the factors of both numbers and list the highest common factor.
The factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The HCF of 2548,3066 is 14.
Lets's calculate GCF of 2548,3066
| 2 | 2548, 3066 |
| 7 | 1274, 1533 |
| 182, 219 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2548,3066 By Matching Biggest Common Factor Method
Now, list down the factors of 2548
:1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Greatest Common Factor
We found the factors 2548,3066 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,3066 is 14.
Lets's calculate LCM of 532,7099
Given numbers has no common factors except 1. So, there LCM is their product i.e 3776668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3776668
Therefore, the GCF of Fractions 2548/532,3066/7099 is 14/3776668
Least Common Multiple of 532,7099 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 532,7099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,7099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,7099) x common factors =1 x 1 = 1
LCM(532,7099) = ( 532 × 7099 ) / 1
LCM(532,7099) = 3776668 / 1
LCM(532,7099) = 3776668
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FAQs on GCF of Fractions of 2548/532, 3066/7099
1. What is the HCF of 2548,3066?
The HCF of 2548,3066 is 14
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 2548/532, 3066/7099?
Answer: GCF of Numerators as per given numbers 2548/532, 3066/7099 is
GCF of Numerators i.e. for 2548,3066 is 14
LCM of denominators i.e. for 532,7099 is 3776668.
Thus, GCF of Fractions is 14/3776668.Finally, GCF of Fractions for 2548/532, 3066/7099 is 14/3776668.