GCF of 6132/526, 3122/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6132/526, 3122/354 i.e 14/93102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6132/526, 3122/354.
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 6132/526,3122/354?
Given fractions are 6132/526,3122/354
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 6132/526,3122/354, numerators are 6132,3122
Denominators are 526,354
The GCF of 6132,3122 is 14 .
LCM of 526,354 is 93102.
The greatest common factor of 6132/526,3122/354 = [GCF of 6132,3122]/[LCM of 526,354]= 14/93102
Therefore, the GCF of 6132/526,3122/354 is 14/93102.
To find the highest common factor of 6132,3122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The HCF of 6132,3122 is 14.
Lets's calculate GCF of 6132,3122
| 2 | 6132, 3122 |
| 7 | 3066, 1561 |
| 438, 223 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6132,3122 By Matching Biggest Common Factor Method
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 6132,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 6132,3122 is 14.
Lets's calculate LCM of 526,354
| 2 | 526, 354 |
| 263, 177 |
∴ So the LCM of the given numbers is 2 x 263 x 177 = 93102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/93102
Therefore, the GCF of Fractions 6132/526,3122/354 is 14/93102
Least Common Multiple of 526,354 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 526,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,354) x common factors =2 x 1 = 2
LCM(526,354) = ( 526 × 354 ) / 2
LCM(526,354) = 186204 / 2
LCM(526,354) = 93102
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FAQs on GCF of Fractions of 6132/526, 3122/354
1. What is the HCF of 6132,3122?
The HCF of 6132,3122 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 6132/526, 3122/354?
Answer: GCF of Numerators as per given numbers 6132/526, 3122/354 is
GCF of Numerators i.e. for 6132,3122 is 14
LCM of denominators i.e. for 526,354 is 93102.
Thus, GCF of Fractions is 14/93102.Finally, GCF of Fractions for 6132/526, 3122/354 is 14/93102.