GCF of 139/643, 120/295, 756/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 139/643, 120/295, 756/922 i.e 1/174889570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/643, 120/295, 756/922.
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 139/643,120/295,756/922?
Given fractions are 139/643,120/295,756/922
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 139/643,120/295,756/922, numerators are 139,120,756
Denominators are 643,295,922
The GCF of 139,120,756 is 1 .
LCM of 643,295,922 is 174889570.
The greatest common factor of 139/643,120/295,756/922 = [GCF of 139,120,756]/[LCM of 643,295,922]= 1/174889570
Therefore, the GCF of 139/643,120/295,756/922 is 1/174889570.
To find the highest common factor of 139,120,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 139,120,756 is 1.
Lets's calculate GCF of 139,120,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 139,120,756 By Matching Biggest Common Factor Method
Now, list down the factors of 139
:1,139
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 139,120,756 . The biggest common factor number is the GCF number.
So the greatest common factor 139,120,756 is 1.
Lets's calculate LCM of 643,295,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 174889570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174889570
Therefore, the GCF of Fractions 139/643,120/295,756/922 is 1/174889570
Least Common Multiple of 643,295,922 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 643,295,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,295,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,295,922) x common factors =1 x 1 = 1
LCM(643,295,922) = ( 643 × 295 × 922 ) / 1
LCM(643,295,922) = 174889570 / 1
LCM(643,295,922) = 174889570
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FAQs on GCF of Fractions of 139/643, 120/295, 756/922
1. What is the HCF of 139,120,756?
The HCF of 139,120,756 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 139/643, 120/295, 756/922?
Answer: GCF of Numerators as per given numbers 139/643, 120/295, 756/922 is
GCF of Numerators i.e. for 139,120,756 is 1
LCM of denominators i.e. for 643,295,922 is 174889570.
Thus, GCF of Fractions is 1/174889570.Finally, GCF of Fractions for 139/643, 120/295, 756/922 is 1/174889570.