GCF of 2785/781, 3138/7882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2785/781, 3138/7882 i.e 1/6155842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2785/781, 3138/7882.
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 2785/781,3138/7882?
Given fractions are 2785/781,3138/7882
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 2785/781,3138/7882, numerators are 2785,3138
Denominators are 781,7882
The GCF of 2785,3138 is 1 .
LCM of 781,7882 is 6155842.
The greatest common factor of 2785/781,3138/7882 = [GCF of 2785,3138]/[LCM of 781,7882]= 1/6155842
Therefore, the GCF of 2785/781,3138/7882 is 1/6155842.
To find the highest common factor of 2785,3138, we have to find the factors of both numbers and list the highest common factor.
The factors of 2785 are 1, 5, 557, 2785
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The HCF of 2785,3138 is 1.
Lets's calculate GCF of 2785,3138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2785,3138 By Matching Biggest Common Factor Method
Now, list down the factors of 2785
:1,5,557,2785
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Greatest Common Factor
We found the factors 2785,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,3138 is 1.
Lets's calculate LCM of 781,7882
Given numbers has no common factors except 1. So, there LCM is their product i.e 6155842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6155842
Therefore, the GCF of Fractions 2785/781,3138/7882 is 1/6155842
Least Common Multiple of 781,7882 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 781,7882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,7882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,7882) x common factors =1 x 1 = 1
LCM(781,7882) = ( 781 × 7882 ) / 1
LCM(781,7882) = 6155842 / 1
LCM(781,7882) = 6155842
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FAQs on GCF of Fractions of 2785/781, 3138/7882
1. What is the HCF of 2785,3138?
The HCF of 2785,3138 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 2785/781, 3138/7882?
Answer: GCF of Numerators as per given numbers 2785/781, 3138/7882 is
GCF of Numerators i.e. for 2785,3138 is 1
LCM of denominators i.e. for 781,7882 is 6155842.
Thus, GCF of Fractions is 1/6155842.Finally, GCF of Fractions for 2785/781, 3138/7882 is 1/6155842.