GCF of 7100/670, 2969/3513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7100/670, 2969/3513 i.e 1/2353710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7100/670, 2969/3513.
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 7100/670,2969/3513?
Given fractions are 7100/670,2969/3513
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 7100/670,2969/3513, numerators are 7100,2969
Denominators are 670,3513
The GCF of 7100,2969 is 1 .
LCM of 670,3513 is 2353710.
The greatest common factor of 7100/670,2969/3513 = [GCF of 7100,2969]/[LCM of 670,3513]= 1/2353710
Therefore, the GCF of 7100/670,2969/3513 is 1/2353710.
To find the highest common factor of 7100,2969, we have to find the factors of both numbers and list the highest common factor.
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The factors of 2969 are 1, 2969
The HCF of 7100,2969 is 1.
Lets's calculate GCF of 7100,2969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7100,2969 By Matching Biggest Common Factor Method
Now, list down the factors of 7100
:1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Now, list down the factors of 2969
:1,2969
Greatest Common Factor
We found the factors 7100,2969 . The biggest common factor number is the GCF number.
So the greatest common factor 7100,2969 is 1.
Lets's calculate LCM of 670,3513
Given numbers has no common factors except 1. So, there LCM is their product i.e 2353710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2353710
Therefore, the GCF of Fractions 7100/670,2969/3513 is 1/2353710
Least Common Multiple of 670,3513 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 670,3513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,3513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,3513) x common factors =1 x 1 = 1
LCM(670,3513) = ( 670 × 3513 ) / 1
LCM(670,3513) = 2353710 / 1
LCM(670,3513) = 2353710
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FAQs on GCF of Fractions of 7100/670, 2969/3513
1. What is the HCF of 7100,2969?
The HCF of 7100,2969 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 7100/670, 2969/3513?
Answer: GCF of Numerators as per given numbers 7100/670, 2969/3513 is
GCF of Numerators i.e. for 7100,2969 is 1
LCM of denominators i.e. for 670,3513 is 2353710.
Thus, GCF of Fractions is 1/2353710.Finally, GCF of Fractions for 7100/670, 2969/3513 is 1/2353710.