GCF of 7781/280, 7431/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7781/280, 7431/991 i.e 1/277480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7781/280, 7431/991.
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 7781/280,7431/991?
Given fractions are 7781/280,7431/991
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 7781/280,7431/991, numerators are 7781,7431
Denominators are 280,991
The GCF of 7781,7431 is 1 .
LCM of 280,991 is 277480.
The greatest common factor of 7781/280,7431/991 = [GCF of 7781,7431]/[LCM of 280,991]= 1/277480
Therefore, the GCF of 7781/280,7431/991 is 1/277480.
To find the highest common factor of 7781,7431, we have to find the factors of both numbers and list the highest common factor.
The factors of 7781 are 1, 31, 251, 7781
The factors of 7431 are 1, 3, 2477, 7431
The HCF of 7781,7431 is 1.
Lets's calculate GCF of 7781,7431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7781,7431 By Matching Biggest Common Factor Method
Now, list down the factors of 7781
:1,31,251,7781
Now, list down the factors of 7431
:1,3,2477,7431
Greatest Common Factor
We found the factors 7781,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 7781,7431 is 1.
Lets's calculate LCM of 280,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 277480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277480
Therefore, the GCF of Fractions 7781/280,7431/991 is 1/277480
Least Common Multiple of 280,991 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 280,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,991) x common factors =1 x 1 = 1
LCM(280,991) = ( 280 × 991 ) / 1
LCM(280,991) = 277480 / 1
LCM(280,991) = 277480
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FAQs on GCF of Fractions of 7781/280, 7431/991
1. What is the HCF of 7781,7431?
The HCF of 7781,7431 is 1
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 7781/280, 7431/991?
Answer: GCF of Numerators as per given numbers 7781/280, 7431/991 is
GCF of Numerators i.e. for 7781,7431 is 1
LCM of denominators i.e. for 280,991 is 277480.
Thus, GCF of Fractions is 1/277480.Finally, GCF of Fractions for 7781/280, 7431/991 is 1/277480.