GCF of 1126/533, 6778/8132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1126/533, 6778/8132 i.e 2/4334356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1126/533, 6778/8132.
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 1126/533,6778/8132?
Given fractions are 1126/533,6778/8132
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 1126/533,6778/8132, numerators are 1126,6778
Denominators are 533,8132
The GCF of 1126,6778 is 2 .
LCM of 533,8132 is 4334356.
The greatest common factor of 1126/533,6778/8132 = [GCF of 1126,6778]/[LCM of 533,8132]= 2/4334356
Therefore, the GCF of 1126/533,6778/8132 is 2/4334356.
To find the highest common factor of 1126,6778, 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 6778 are 1, 2, 3389, 6778
The HCF of 1126,6778 is 2.
Lets's calculate GCF of 1126,6778
| 2 | 1126, 6778 |
| 563, 3389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1126,6778 By Matching Biggest Common Factor Method
Now, list down the factors of 1126
:1,2,563,1126
Now, list down the factors of 6778
:1,2,3389,6778
Greatest Common Factor
We found the factors 1126,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 1126,6778 is 2.
Lets's calculate LCM of 533,8132
Given numbers has no common factors except 1. So, there LCM is their product i.e 4334356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4334356
Therefore, the GCF of Fractions 1126/533,6778/8132 is 2/4334356
Least Common Multiple of 533,8132 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 533,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,8132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,8132) x common factors =1 x 1 = 1
LCM(533,8132) = ( 533 × 8132 ) / 1
LCM(533,8132) = 4334356 / 1
LCM(533,8132) = 4334356
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FAQs on GCF of Fractions of 1126/533, 6778/8132
1. What is the HCF of 1126,6778?
The HCF of 1126,6778 is 2
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 1126/533, 6778/8132?
Answer: GCF of Numerators as per given numbers 1126/533, 6778/8132 is
GCF of Numerators i.e. for 1126,6778 is 2
LCM of denominators i.e. for 533,8132 is 4334356.
Thus, GCF of Fractions is 2/4334356.Finally, GCF of Fractions for 1126/533, 6778/8132 is 2/4334356.