GCF of 5272/304, 6770/3208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5272/304, 6770/3208 i.e 2/121904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5272/304, 6770/3208.
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 5272/304,6770/3208?
Given fractions are 5272/304,6770/3208
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 5272/304,6770/3208, numerators are 5272,6770
Denominators are 304,3208
The GCF of 5272,6770 is 2 .
LCM of 304,3208 is 121904.
The greatest common factor of 5272/304,6770/3208 = [GCF of 5272,6770]/[LCM of 304,3208]= 2/121904
Therefore, the GCF of 5272/304,6770/3208 is 2/121904.
To find the highest common factor of 5272,6770, we have to find the factors of both numbers and list the highest common factor.
The factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The HCF of 5272,6770 is 2.
Lets's calculate GCF of 5272,6770
| 2 | 5272, 6770 |
| 2636, 3385 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5272,6770 By Matching Biggest Common Factor Method
Now, list down the factors of 5272
:1,2,4,8,659,1318,2636,5272
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Greatest Common Factor
We found the factors 5272,6770 . The biggest common factor number is the GCF number.
So the greatest common factor 5272,6770 is 2.
Lets's calculate LCM of 304,3208
| 2 | 304, 3208 |
| 2 | 152, 1604 |
| 2 | 76, 802 |
| 38, 401 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 401 = 121904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121904
Therefore, the GCF of Fractions 5272/304,6770/3208 is 2/121904
Least Common Multiple of 304,3208 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 304,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,3208) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(304,3208) x common factors =8 x 1 = 8
LCM(304,3208) = ( 304 × 3208 ) / 8
LCM(304,3208) = 975232 / 8
LCM(304,3208) = 121904
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FAQs on GCF of Fractions of 5272/304, 6770/3208
1. What is the HCF of 5272,6770?
The HCF of 5272,6770 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 5272/304, 6770/3208?
Answer: GCF of Numerators as per given numbers 5272/304, 6770/3208 is
GCF of Numerators i.e. for 5272,6770 is 2
LCM of denominators i.e. for 304,3208 is 121904.
Thus, GCF of Fractions is 2/121904.Finally, GCF of Fractions for 5272/304, 6770/3208 is 2/121904.