GCF of 6752/699, 3978/251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6752/699, 3978/251 i.e 2/175449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6752/699, 3978/251.
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 6752/699,3978/251?
Given fractions are 6752/699,3978/251
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 6752/699,3978/251, numerators are 6752,3978
Denominators are 699,251
The GCF of 6752,3978 is 2 .
LCM of 699,251 is 175449.
The greatest common factor of 6752/699,3978/251 = [GCF of 6752,3978]/[LCM of 699,251]= 2/175449
Therefore, the GCF of 6752/699,3978/251 is 2/175449.
To find the highest common factor of 6752,3978, we have to find the factors of both numbers and list the highest common factor.
The factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752
The factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978
The HCF of 6752,3978 is 2.
Lets's calculate GCF of 6752,3978
| 2 | 6752, 3978 |
| 3376, 1989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6752,3978 By Matching Biggest Common Factor Method
Now, list down the factors of 6752
:1,2,4,8,16,32,211,422,844,1688,3376,6752
Now, list down the factors of 3978
:1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978
Greatest Common Factor
We found the factors 6752,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 6752,3978 is 2.
Lets's calculate LCM of 699,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 175449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175449
Therefore, the GCF of Fractions 6752/699,3978/251 is 2/175449
Least Common Multiple of 699,251 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 699,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,251) x common factors =1 x 1 = 1
LCM(699,251) = ( 699 × 251 ) / 1
LCM(699,251) = 175449 / 1
LCM(699,251) = 175449
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FAQs on GCF of Fractions of 6752/699, 3978/251
1. What is the HCF of 6752,3978?
The HCF of 6752,3978 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 6752/699, 3978/251?
Answer: GCF of Numerators as per given numbers 6752/699, 3978/251 is
GCF of Numerators i.e. for 6752,3978 is 2
LCM of denominators i.e. for 699,251 is 175449.
Thus, GCF of Fractions is 2/175449.Finally, GCF of Fractions for 6752/699, 3978/251 is 2/175449.