GCF of 2548/116, 8506/7300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2548/116, 8506/7300 i.e 2/211700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2548/116, 8506/7300.
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 2548/116,8506/7300?
Given fractions are 2548/116,8506/7300
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 2548/116,8506/7300, numerators are 2548,8506
Denominators are 116,7300
The GCF of 2548,8506 is 2 .
LCM of 116,7300 is 211700.
The greatest common factor of 2548/116,8506/7300 = [GCF of 2548,8506]/[LCM of 116,7300]= 2/211700
Therefore, the GCF of 2548/116,8506/7300 is 2/211700.
To find the highest common factor of 2548,8506, 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 8506 are 1, 2, 4253, 8506
The HCF of 2548,8506 is 2.
Lets's calculate GCF of 2548,8506
| 2 | 2548, 8506 |
| 1274, 4253 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2548,8506 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 8506
:1,2,4253,8506
Greatest Common Factor
We found the factors 2548,8506 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,8506 is 2.
Lets's calculate LCM of 116,7300
| 2 | 116, 7300 |
| 2 | 58, 3650 |
| 29, 1825 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 1825 = 211700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/211700
Therefore, the GCF of Fractions 2548/116,8506/7300 is 2/211700
Least Common Multiple of 116,7300 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 116,7300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,7300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,7300) x common factors =4 x 1 = 4
LCM(116,7300) = ( 116 × 7300 ) / 4
LCM(116,7300) = 846800 / 4
LCM(116,7300) = 211700
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FAQs on GCF of Fractions of 2548/116, 8506/7300
1. What is the HCF of 2548,8506?
The HCF of 2548,8506 is 2
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 2548/116, 8506/7300?
Answer: GCF of Numerators as per given numbers 2548/116, 8506/7300 is
GCF of Numerators i.e. for 2548,8506 is 2
LCM of denominators i.e. for 116,7300 is 211700.
Thus, GCF of Fractions is 2/211700.Finally, GCF of Fractions for 2548/116, 8506/7300 is 2/211700.