GCF of 5432/370, 4130/2077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5432/370, 4130/2077 i.e 14/768490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5432/370, 4130/2077.
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 5432/370,4130/2077?
Given fractions are 5432/370,4130/2077
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 5432/370,4130/2077, numerators are 5432,4130
Denominators are 370,2077
The GCF of 5432,4130 is 14 .
LCM of 370,2077 is 768490.
The greatest common factor of 5432/370,4130/2077 = [GCF of 5432,4130]/[LCM of 370,2077]= 14/768490
Therefore, the GCF of 5432/370,4130/2077 is 14/768490.
To find the highest common factor of 5432,4130, we have to find the factors of both numbers and list the highest common factor.
The factors of 5432 are 1, 2, 4, 7, 8, 14, 28, 56, 97, 194, 388, 679, 776, 1358, 2716, 5432
The factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130
The HCF of 5432,4130 is 14.
Lets's calculate GCF of 5432,4130
| 2 | 5432, 4130 |
| 7 | 2716, 2065 |
| 388, 295 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5432,4130 By Matching Biggest Common Factor Method
Now, list down the factors of 5432
:1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432
Now, list down the factors of 4130
:1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130
Greatest Common Factor
We found the factors 5432,4130 . The biggest common factor number is the GCF number.
So the greatest common factor 5432,4130 is 14.
Lets's calculate LCM of 370,2077
Given numbers has no common factors except 1. So, there LCM is their product i.e 768490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/768490
Therefore, the GCF of Fractions 5432/370,4130/2077 is 14/768490
Least Common Multiple of 370,2077 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 370,2077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,2077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,2077) x common factors =1 x 1 = 1
LCM(370,2077) = ( 370 × 2077 ) / 1
LCM(370,2077) = 768490 / 1
LCM(370,2077) = 768490
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FAQs on GCF of Fractions of 5432/370, 4130/2077
1. What is the HCF of 5432,4130?
The HCF of 5432,4130 is 14
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 5432/370, 4130/2077?
Answer: GCF of Numerators as per given numbers 5432/370, 4130/2077 is
GCF of Numerators i.e. for 5432,4130 is 14
LCM of denominators i.e. for 370,2077 is 768490.
Thus, GCF of Fractions is 14/768490.Finally, GCF of Fractions for 5432/370, 4130/2077 is 14/768490.