GCF of 271/249, 671/391, 164/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 271/249, 671/391, 164/700 i.e 1/68151300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/249, 671/391, 164/700.
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 271/249,671/391,164/700?
Given fractions are 271/249,671/391,164/700
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 271/249,671/391,164/700, numerators are 271,671,164
Denominators are 249,391,700
The GCF of 271,671,164 is 1 .
LCM of 249,391,700 is 68151300.
The greatest common factor of 271/249,671/391,164/700 = [GCF of 271,671,164]/[LCM of 249,391,700]= 1/68151300
Therefore, the GCF of 271/249,671/391,164/700 is 1/68151300.
To find the highest common factor of 271,671,164, 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 671 are 1, 11, 61, 671
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 271,671,164 is 1.
Lets's calculate GCF of 271,671,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 271,671,164 By Matching Biggest Common Factor Method
Now, list down the factors of 271
:1,271
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 271,671,164 . The biggest common factor number is the GCF number.
So the greatest common factor 271,671,164 is 1.
Lets's calculate LCM of 249,391,700
Given numbers has no common factors except 1. So, there LCM is their product i.e 68151300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68151300
Therefore, the GCF of Fractions 271/249,671/391,164/700 is 1/68151300
Least Common Multiple of 249,391,700 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 249,391,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,391,700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,391,700) x common factors =1 x 1 = 1
LCM(249,391,700) = ( 249 × 391 × 700 ) / 1
LCM(249,391,700) = 68151300 / 1
LCM(249,391,700) = 68151300
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FAQs on GCF of Fractions of 271/249, 671/391, 164/700
1. What is the HCF of 271,671,164?
The HCF of 271,671,164 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 271/249, 671/391, 164/700?
Answer: GCF of Numerators as per given numbers 271/249, 671/391, 164/700 is
GCF of Numerators i.e. for 271,671,164 is 1
LCM of denominators i.e. for 249,391,700 is 68151300.
Thus, GCF of Fractions is 1/68151300.Finally, GCF of Fractions for 271/249, 671/391, 164/700 is 1/68151300.