GCF of 3520/149, 3119/6179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3520/149, 3119/6179 i.e 1/920671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3520/149, 3119/6179.
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 3520/149,3119/6179?
Given fractions are 3520/149,3119/6179
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 3520/149,3119/6179, numerators are 3520,3119
Denominators are 149,6179
The GCF of 3520,3119 is 1 .
LCM of 149,6179 is 920671.
The greatest common factor of 3520/149,3119/6179 = [GCF of 3520,3119]/[LCM of 149,6179]= 1/920671
Therefore, the GCF of 3520/149,3119/6179 is 1/920671.
To find the highest common factor of 3520,3119, we have to find the factors of both numbers and list the highest common factor.
The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
The factors of 3119 are 1, 3119
The HCF of 3520,3119 is 1.
Lets's calculate GCF of 3520,3119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3520,3119 By Matching Biggest Common Factor Method
Now, list down the factors of 3520
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520
Now, list down the factors of 3119
:1,3119
Greatest Common Factor
We found the factors 3520,3119 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,3119 is 1.
Lets's calculate LCM of 149,6179
Given numbers has no common factors except 1. So, there LCM is their product i.e 920671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/920671
Therefore, the GCF of Fractions 3520/149,3119/6179 is 1/920671
Least Common Multiple of 149,6179 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 149,6179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,6179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,6179) x common factors =1 x 1 = 1
LCM(149,6179) = ( 149 × 6179 ) / 1
LCM(149,6179) = 920671 / 1
LCM(149,6179) = 920671
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FAQs on GCF of Fractions of 3520/149, 3119/6179
1. What is the HCF of 3520,3119?
The HCF of 3520,3119 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 3520/149, 3119/6179?
Answer: GCF of Numerators as per given numbers 3520/149, 3119/6179 is
GCF of Numerators i.e. for 3520,3119 is 1
LCM of denominators i.e. for 149,6179 is 920671.
Thus, GCF of Fractions is 1/920671.Finally, GCF of Fractions for 3520/149, 3119/6179 is 1/920671.