GCF of 7049/188, 9226/7560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7049/188, 9226/7560 i.e 7/355320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7049/188, 9226/7560.
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 7049/188,9226/7560?
Given fractions are 7049/188,9226/7560
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 7049/188,9226/7560, numerators are 7049,9226
Denominators are 188,7560
The GCF of 7049,9226 is 7 .
LCM of 188,7560 is 355320.
The greatest common factor of 7049/188,9226/7560 = [GCF of 7049,9226]/[LCM of 188,7560]= 7/355320
Therefore, the GCF of 7049/188,9226/7560 is 7/355320.
To find the highest common factor of 7049,9226, we have to find the factors of both numbers and list the highest common factor.
The factors of 7049 are 1, 7, 19, 53, 133, 371, 1007, 7049
The factors of 9226 are 1, 2, 7, 14, 659, 1318, 4613, 9226
The HCF of 7049,9226 is 7.
Lets's calculate GCF of 7049,9226
| 7 | 7049, 9226 |
| 1007, 1318 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7049,9226 By Matching Biggest Common Factor Method
Now, list down the factors of 7049
:1,7,19,53,133,371,1007,7049
Now, list down the factors of 9226
:1,2,7,14,659,1318,4613,9226
Greatest Common Factor
We found the factors 7049,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 7049,9226 is 7.
Lets's calculate LCM of 188,7560
| 2 | 188, 7560 |
| 2 | 94, 3780 |
| 47, 1890 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 1890 = 355320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/355320
Therefore, the GCF of Fractions 7049/188,9226/7560 is 7/355320
Least Common Multiple of 188,7560 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 188,7560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,7560) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,7560) x common factors =4 x 1 = 4
LCM(188,7560) = ( 188 × 7560 ) / 4
LCM(188,7560) = 1421280 / 4
LCM(188,7560) = 355320
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FAQs on GCF of Fractions of 7049/188, 9226/7560
1. What is the HCF of 7049,9226?
The HCF of 7049,9226 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 7049/188, 9226/7560?
Answer: GCF of Numerators as per given numbers 7049/188, 9226/7560 is
GCF of Numerators i.e. for 7049,9226 is 7
LCM of denominators i.e. for 188,7560 is 355320.
Thus, GCF of Fractions is 7/355320.Finally, GCF of Fractions for 7049/188, 9226/7560 is 7/355320.