GCF of 7011/358, 1870/6955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7011/358, 1870/6955 i.e 1/2489890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7011/358, 1870/6955.
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 7011/358,1870/6955?
Given fractions are 7011/358,1870/6955
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 7011/358,1870/6955, numerators are 7011,1870
Denominators are 358,6955
The GCF of 7011,1870 is 1 .
LCM of 358,6955 is 2489890.
The greatest common factor of 7011/358,1870/6955 = [GCF of 7011,1870]/[LCM of 358,6955]= 1/2489890
Therefore, the GCF of 7011/358,1870/6955 is 1/2489890.
To find the highest common factor of 7011,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 7011,1870 is 1.
Lets's calculate GCF of 7011,1870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7011,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 7011
:1,3,9,19,41,57,123,171,369,779,2337,7011
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 7011,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,1870 is 1.
Lets's calculate LCM of 358,6955
Given numbers has no common factors except 1. So, there LCM is their product i.e 2489890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2489890
Therefore, the GCF of Fractions 7011/358,1870/6955 is 1/2489890
Least Common Multiple of 358,6955 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 358,6955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,6955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,6955) x common factors =1 x 1 = 1
LCM(358,6955) = ( 358 × 6955 ) / 1
LCM(358,6955) = 2489890 / 1
LCM(358,6955) = 2489890
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FAQs on GCF of Fractions of 7011/358, 1870/6955
1. What is the HCF of 7011,1870?
The HCF of 7011,1870 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 7011/358, 1870/6955?
Answer: GCF of Numerators as per given numbers 7011/358, 1870/6955 is
GCF of Numerators i.e. for 7011,1870 is 1
LCM of denominators i.e. for 358,6955 is 2489890.
Thus, GCF of Fractions is 1/2489890.Finally, GCF of Fractions for 7011/358, 1870/6955 is 1/2489890.