GCF of 7711/274, 3907/8050
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7711/274, 3907/8050 i.e 1/1102850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7711/274, 3907/8050.
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 7711/274,3907/8050?
Given fractions are 7711/274,3907/8050
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 7711/274,3907/8050, numerators are 7711,3907
Denominators are 274,8050
The GCF of 7711,3907 is 1 .
LCM of 274,8050 is 1102850.
The greatest common factor of 7711/274,3907/8050 = [GCF of 7711,3907]/[LCM of 274,8050]= 1/1102850
Therefore, the GCF of 7711/274,3907/8050 is 1/1102850.
To find the highest common factor of 7711,3907, we have to find the factors of both numbers and list the highest common factor.
The factors of 7711 are 1, 11, 701, 7711
The factors of 3907 are 1, 3907
The HCF of 7711,3907 is 1.
Lets's calculate GCF of 7711,3907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7711,3907 By Matching Biggest Common Factor Method
Now, list down the factors of 7711
:1,11,701,7711
Now, list down the factors of 3907
:1,3907
Greatest Common Factor
We found the factors 7711,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,3907 is 1.
Lets's calculate LCM of 274,8050
| 2 | 274, 8050 |
| 137, 4025 |
∴ So the LCM of the given numbers is 2 x 137 x 4025 = 1102850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1102850
Therefore, the GCF of Fractions 7711/274,3907/8050 is 1/1102850
Least Common Multiple of 274,8050 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 274,8050 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,8050) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,8050) x common factors =2 x 1 = 2
LCM(274,8050) = ( 274 × 8050 ) / 2
LCM(274,8050) = 2205700 / 2
LCM(274,8050) = 1102850
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FAQs on GCF of Fractions of 7711/274, 3907/8050
1. What is the HCF of 7711,3907?
The HCF of 7711,3907 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 7711/274, 3907/8050?
Answer: GCF of Numerators as per given numbers 7711/274, 3907/8050 is
GCF of Numerators i.e. for 7711,3907 is 1
LCM of denominators i.e. for 274,8050 is 1102850.
Thus, GCF of Fractions is 1/1102850.Finally, GCF of Fractions for 7711/274, 3907/8050 is 1/1102850.