GCF of 5753/980, 8261/280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5753/980, 8261/280 i.e 11/1960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5753/980, 8261/280.
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 5753/980,8261/280?
Given fractions are 5753/980,8261/280
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 5753/980,8261/280, numerators are 5753,8261
Denominators are 980,280
The GCF of 5753,8261 is 11 .
LCM of 980,280 is 1960.
The greatest common factor of 5753/980,8261/280 = [GCF of 5753,8261]/[LCM of 980,280]= 11/1960
Therefore, the GCF of 5753/980,8261/280 is 11/1960.
To find the highest common factor of 5753,8261, we have to find the factors of both numbers and list the highest common factor.
The factors of 5753 are 1, 11, 523, 5753
The factors of 8261 are 1, 11, 751, 8261
The HCF of 5753,8261 is 11.
Lets's calculate GCF of 5753,8261
| 11 | 5753, 8261 |
| 523, 751 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5753,8261 By Matching Biggest Common Factor Method
Now, list down the factors of 5753
:1,11,523,5753
Now, list down the factors of 8261
:1,11,751,8261
Greatest Common Factor
We found the factors 5753,8261 . The biggest common factor number is the GCF number.
So the greatest common factor 5753,8261 is 11.
Lets's calculate LCM of 980,280
| 2 | 980, 280 |
| 2 | 490, 140 |
| 5 | 245, 70 |
| 7 | 49, 14 |
| 7, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 7 x 2 = 1960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1960
Therefore, the GCF of Fractions 5753/980,8261/280 is 11/1960
Least Common Multiple of 980,280 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 980,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,280) = 140
common factors(in case of two or more numbers have common factors) = 1
GCF(980,280) x common factors =140 x 1 = 140
LCM(980,280) = ( 980 × 280 ) / 140
LCM(980,280) = 274400 / 140
LCM(980,280) = 1960
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FAQs on GCF of Fractions of 5753/980, 8261/280
1. What is the HCF of 5753,8261?
The HCF of 5753,8261 is 11
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 5753/980, 8261/280?
Answer: GCF of Numerators as per given numbers 5753/980, 8261/280 is
GCF of Numerators i.e. for 5753,8261 is 11
LCM of denominators i.e. for 980,280 is 1960.
Thus, GCF of Fractions is 11/1960.Finally, GCF of Fractions for 5753/980, 8261/280 is 11/1960.