GCF of 1126/708, 3691/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1126/708, 3691/927 i.e 1/218772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1126/708, 3691/927.
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 1126/708,3691/927?
Given fractions are 1126/708,3691/927
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 1126/708,3691/927, numerators are 1126,3691
Denominators are 708,927
The GCF of 1126,3691 is 1 .
LCM of 708,927 is 218772.
The greatest common factor of 1126/708,3691/927 = [GCF of 1126,3691]/[LCM of 708,927]= 1/218772
Therefore, the GCF of 1126/708,3691/927 is 1/218772.
To find the highest common factor of 1126,3691, we have to find the factors of both numbers and list the highest common factor.
The factors of 1126 are 1, 2, 563, 1126
The factors of 3691 are 1, 3691
The HCF of 1126,3691 is 1.
Lets's calculate GCF of 1126,3691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1126,3691 By Matching Biggest Common Factor Method
Now, list down the factors of 1126
:1,2,563,1126
Now, list down the factors of 3691
:1,3691
Greatest Common Factor
We found the factors 1126,3691 . The biggest common factor number is the GCF number.
So the greatest common factor 1126,3691 is 1.
Lets's calculate LCM of 708,927
| 3 | 708, 927 |
| 236, 309 |
∴ So the LCM of the given numbers is 3 x 236 x 309 = 218772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218772
Therefore, the GCF of Fractions 1126/708,3691/927 is 1/218772
Least Common Multiple of 708,927 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 708,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,927) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,927) x common factors =3 x 1 = 3
LCM(708,927) = ( 708 × 927 ) / 3
LCM(708,927) = 656316 / 3
LCM(708,927) = 218772
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FAQs on GCF of Fractions of 1126/708, 3691/927
1. What is the HCF of 1126,3691?
The HCF of 1126,3691 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 1126/708, 3691/927?
Answer: GCF of Numerators as per given numbers 1126/708, 3691/927 is
GCF of Numerators i.e. for 1126,3691 is 1
LCM of denominators i.e. for 708,927 is 218772.
Thus, GCF of Fractions is 1/218772.Finally, GCF of Fractions for 1126/708, 3691/927 is 1/218772.