Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 526/277,434/130,973/967
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 526,434,973
Greatest Common Factor of Numerators i.e. GCF of 526,434,973 is 1 .
LCM of Denominators means LCM of 277,130,967 as per the given fractions.
LCM of 277,130,967 is 34821670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 526,434,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 526,434,973 . The biggest common factor number is the GCF number.
So the greatest common factor 526,434,973 is 1.
Lets's calculate LCM of 277,130,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 34821670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34821670
Therefore, the GCF of Fractions 526/277,434/130,973/967 is 1/34821670
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 277,130,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,130,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,130,967) x common factors =1 x 1 = 1
LCM(277,130,967) = ( 277 × 130 × 967 ) / 1
LCM(277,130,967) = 34821670 / 1
LCM(277,130,967) = 34821670
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 526/277, 434/130, 973/967?
Answer: GCF of Numerators as per given numbers 526/277, 434/130, 973/967 is
GCF of Numerators i.e. for 526,434,973 is 1
LCM of denominators i.e. for 277,130,967 is 34821670.
Thus, GCF of Fractions is 1/34821670.Finally, GCF of Fractions for 526/277, 434/130, 973/967 is 1/34821670.