GCF of 1011/748, 1352/3021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1011/748, 1352/3021 i.e 1/2259708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1011/748, 1352/3021.
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 1011/748,1352/3021?
Given fractions are 1011/748,1352/3021
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 1011/748,1352/3021, numerators are 1011,1352
Denominators are 748,3021
The GCF of 1011,1352 is 1 .
LCM of 748,3021 is 2259708.
The greatest common factor of 1011/748,1352/3021 = [GCF of 1011,1352]/[LCM of 748,3021]= 1/2259708
Therefore, the GCF of 1011/748,1352/3021 is 1/2259708.
To find the highest common factor of 1011,1352, we have to find the factors of both numbers and list the highest common factor.
The factors of 1011 are 1, 3, 337, 1011
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The HCF of 1011,1352 is 1.
Lets's calculate GCF of 1011,1352
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1011,1352 By Matching Biggest Common Factor Method
Now, list down the factors of 1011
:1,3,337,1011
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Greatest Common Factor
We found the factors 1011,1352 . The biggest common factor number is the GCF number.
So the greatest common factor 1011,1352 is 1.
Lets's calculate LCM of 748,3021
Given numbers has no common factors except 1. So, there LCM is their product i.e 2259708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2259708
Therefore, the GCF of Fractions 1011/748,1352/3021 is 1/2259708
Least Common Multiple of 748,3021 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 748,3021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,3021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,3021) x common factors =1 x 1 = 1
LCM(748,3021) = ( 748 × 3021 ) / 1
LCM(748,3021) = 2259708 / 1
LCM(748,3021) = 2259708
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FAQs on GCF of Fractions of 1011/748, 1352/3021
1. What is the HCF of 1011,1352?
The HCF of 1011,1352 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 1011/748, 1352/3021?
Answer: GCF of Numerators as per given numbers 1011/748, 1352/3021 is
GCF of Numerators i.e. for 1011,1352 is 1
LCM of denominators i.e. for 748,3021 is 2259708.
Thus, GCF of Fractions is 1/2259708.Finally, GCF of Fractions for 1011/748, 1352/3021 is 1/2259708.