GCF of 2239/735, 7876/691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2239/735, 7876/691 i.e 1/507885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2239/735, 7876/691.
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 2239/735,7876/691?
Given fractions are 2239/735,7876/691
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 2239/735,7876/691, numerators are 2239,7876
Denominators are 735,691
The GCF of 2239,7876 is 1 .
LCM of 735,691 is 507885.
The greatest common factor of 2239/735,7876/691 = [GCF of 2239,7876]/[LCM of 735,691]= 1/507885
Therefore, the GCF of 2239/735,7876/691 is 1/507885.
To find the highest common factor of 2239,7876, we have to find the factors of both numbers and list the highest common factor.
The factors of 2239 are 1, 2239
The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876
The HCF of 2239,7876 is 1.
Lets's calculate GCF of 2239,7876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2239,7876 By Matching Biggest Common Factor Method
Now, list down the factors of 2239
:1,2239
Now, list down the factors of 7876
:1,2,4,11,22,44,179,358,716,1969,3938,7876
Greatest Common Factor
We found the factors 2239,7876 . The biggest common factor number is the GCF number.
So the greatest common factor 2239,7876 is 1.
Lets's calculate LCM of 735,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 507885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507885
Therefore, the GCF of Fractions 2239/735,7876/691 is 1/507885
Least Common Multiple of 735,691 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 735,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,691) x common factors =1 x 1 = 1
LCM(735,691) = ( 735 × 691 ) / 1
LCM(735,691) = 507885 / 1
LCM(735,691) = 507885
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FAQs on GCF of Fractions of 2239/735, 7876/691
1. What is the HCF of 2239,7876?
The HCF of 2239,7876 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 2239/735, 7876/691?
Answer: GCF of Numerators as per given numbers 2239/735, 7876/691 is
GCF of Numerators i.e. for 2239,7876 is 1
LCM of denominators i.e. for 735,691 is 507885.
Thus, GCF of Fractions is 1/507885.Finally, GCF of Fractions for 2239/735, 7876/691 is 1/507885.