GCF of 3497/972, 7100/2308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3497/972, 7100/2308 i.e 1/560844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3497/972, 7100/2308.
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 3497/972,7100/2308?
Given fractions are 3497/972,7100/2308
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 3497/972,7100/2308, numerators are 3497,7100
Denominators are 972,2308
The GCF of 3497,7100 is 1 .
LCM of 972,2308 is 560844.
The greatest common factor of 3497/972,7100/2308 = [GCF of 3497,7100]/[LCM of 972,2308]= 1/560844
Therefore, the GCF of 3497/972,7100/2308 is 1/560844.
To find the highest common factor of 3497,7100, we have to find the factors of both numbers and list the highest common factor.
The factors of 3497 are 1, 13, 269, 3497
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The HCF of 3497,7100 is 1.
Lets's calculate GCF of 3497,7100
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3497,7100 By Matching Biggest Common Factor Method
Now, list down the factors of 3497
:1,13,269,3497
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
Greatest Common Factor
We found the factors 3497,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 3497,7100 is 1.
Lets's calculate LCM of 972,2308
| 2 | 972, 2308 |
| 2 | 486, 1154 |
| 243, 577 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 577 = 560844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560844
Therefore, the GCF of Fractions 3497/972,7100/2308 is 1/560844
Least Common Multiple of 972,2308 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 972,2308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,2308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,2308) x common factors =4 x 1 = 4
LCM(972,2308) = ( 972 × 2308 ) / 4
LCM(972,2308) = 2243376 / 4
LCM(972,2308) = 560844
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FAQs on GCF of Fractions of 3497/972, 7100/2308
1. What is the HCF of 3497,7100?
The HCF of 3497,7100 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 3497/972, 7100/2308?
Answer: GCF of Numerators as per given numbers 3497/972, 7100/2308 is
GCF of Numerators i.e. for 3497,7100 is 1
LCM of denominators i.e. for 972,2308 is 560844.
Thus, GCF of Fractions is 1/560844.Finally, GCF of Fractions for 3497/972, 7100/2308 is 1/560844.