GCF of 271/196, 6609/7714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 271/196, 6609/7714 i.e 1/107996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/196, 6609/7714.
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 271/196,6609/7714?
Given fractions are 271/196,6609/7714
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 271/196,6609/7714, numerators are 271,6609
Denominators are 196,7714
The GCF of 271,6609 is 1 .
LCM of 196,7714 is 107996.
The greatest common factor of 271/196,6609/7714 = [GCF of 271,6609]/[LCM of 196,7714]= 1/107996
Therefore, the GCF of 271/196,6609/7714 is 1/107996.
To find the highest common factor of 271,6609, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 6609 are 1, 3, 2203, 6609
The HCF of 271,6609 is 1.
Lets's calculate GCF of 271,6609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 271,6609 By Matching Biggest Common Factor Method
Now, list down the factors of 271
:1,271
Now, list down the factors of 6609
:1,3,2203,6609
Greatest Common Factor
We found the factors 271,6609 . The biggest common factor number is the GCF number.
So the greatest common factor 271,6609 is 1.
Lets's calculate LCM of 196,7714
| 2 | 196, 7714 |
| 7 | 98, 3857 |
| 14, 551 |
∴ So the LCM of the given numbers is 2 x 7 x 14 x 551 = 107996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107996
Therefore, the GCF of Fractions 271/196,6609/7714 is 1/107996
Least Common Multiple of 196,7714 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 196,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,7714) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(196,7714) x common factors =14 x 1 = 14
LCM(196,7714) = ( 196 × 7714 ) / 14
LCM(196,7714) = 1511944 / 14
LCM(196,7714) = 107996
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FAQs on GCF of Fractions of 271/196, 6609/7714
1. What is the HCF of 271,6609?
The HCF of 271,6609 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 271/196, 6609/7714?
Answer: GCF of Numerators as per given numbers 271/196, 6609/7714 is
GCF of Numerators i.e. for 271,6609 is 1
LCM of denominators i.e. for 196,7714 is 107996.
Thus, GCF of Fractions is 1/107996.Finally, GCF of Fractions for 271/196, 6609/7714 is 1/107996.