GCF of 7012/985, 8139/8303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7012/985, 8139/8303 i.e 1/8178455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7012/985, 8139/8303.
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 7012/985,8139/8303?
Given fractions are 7012/985,8139/8303
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 7012/985,8139/8303, numerators are 7012,8139
Denominators are 985,8303
The GCF of 7012,8139 is 1 .
LCM of 985,8303 is 8178455.
The greatest common factor of 7012/985,8139/8303 = [GCF of 7012,8139]/[LCM of 985,8303]= 1/8178455
Therefore, the GCF of 7012/985,8139/8303 is 1/8178455.
To find the highest common factor of 7012,8139, we have to find the factors of both numbers and list the highest common factor.
The factors of 7012 are 1, 2, 4, 1753, 3506, 7012
The factors of 8139 are 1, 3, 2713, 8139
The HCF of 7012,8139 is 1.
Lets's calculate GCF of 7012,8139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7012,8139 By Matching Biggest Common Factor Method
Now, list down the factors of 7012
:1,2,4,1753,3506,7012
Now, list down the factors of 8139
:1,3,2713,8139
Greatest Common Factor
We found the factors 7012,8139 . The biggest common factor number is the GCF number.
So the greatest common factor 7012,8139 is 1.
Lets's calculate LCM of 985,8303
Given numbers has no common factors except 1. So, there LCM is their product i.e 8178455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8178455
Therefore, the GCF of Fractions 7012/985,8139/8303 is 1/8178455
Least Common Multiple of 985,8303 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 985,8303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,8303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,8303) x common factors =1 x 1 = 1
LCM(985,8303) = ( 985 × 8303 ) / 1
LCM(985,8303) = 8178455 / 1
LCM(985,8303) = 8178455
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FAQs on GCF of Fractions of 7012/985, 8139/8303
1. What is the HCF of 7012,8139?
The HCF of 7012,8139 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 7012/985, 8139/8303?
Answer: GCF of Numerators as per given numbers 7012/985, 8139/8303 is
GCF of Numerators i.e. for 7012,8139 is 1
LCM of denominators i.e. for 985,8303 is 8178455.
Thus, GCF of Fractions is 1/8178455.Finally, GCF of Fractions for 7012/985, 8139/8303 is 1/8178455.