GCF of 7148/526, 8502/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7148/526, 8502/128 i.e 2/33664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7148/526, 8502/128.
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 7148/526,8502/128?
Given fractions are 7148/526,8502/128
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 7148/526,8502/128, numerators are 7148,8502
Denominators are 526,128
The GCF of 7148,8502 is 2 .
LCM of 526,128 is 33664.
The greatest common factor of 7148/526,8502/128 = [GCF of 7148,8502]/[LCM of 526,128]= 2/33664
Therefore, the GCF of 7148/526,8502/128 is 2/33664.
To find the highest common factor of 7148,8502, we have to find the factors of both numbers and list the highest common factor.
The factors of 7148 are 1, 2, 4, 1787, 3574, 7148
The factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502
The HCF of 7148,8502 is 2.
Lets's calculate GCF of 7148,8502
| 2 | 7148, 8502 |
| 3574, 4251 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7148,8502 By Matching Biggest Common Factor Method
Now, list down the factors of 7148
:1,2,4,1787,3574,7148
Now, list down the factors of 8502
:1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 7148,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 7148,8502 is 2.
Lets's calculate LCM of 526,128
| 2 | 526, 128 |
| 263, 64 |
∴ So the LCM of the given numbers is 2 x 263 x 64 = 33664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33664
Therefore, the GCF of Fractions 7148/526,8502/128 is 2/33664
Least Common Multiple of 526,128 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 526,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,128) x common factors =2 x 1 = 2
LCM(526,128) = ( 526 × 128 ) / 2
LCM(526,128) = 67328 / 2
LCM(526,128) = 33664
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FAQs on GCF of Fractions of 7148/526, 8502/128
1. What is the HCF of 7148,8502?
The HCF of 7148,8502 is 2
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 7148/526, 8502/128?
Answer: GCF of Numerators as per given numbers 7148/526, 8502/128 is
GCF of Numerators i.e. for 7148,8502 is 2
LCM of denominators i.e. for 526,128 is 33664.
Thus, GCF of Fractions is 2/33664.Finally, GCF of Fractions for 7148/526, 8502/128 is 2/33664.