GCF of 7688/378, 7682/5529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7688/378, 7682/5529 i.e 2/696654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7688/378, 7682/5529.
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 7688/378,7682/5529?
Given fractions are 7688/378,7682/5529
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 7688/378,7682/5529, numerators are 7688,7682
Denominators are 378,5529
The GCF of 7688,7682 is 2 .
LCM of 378,5529 is 696654.
The greatest common factor of 7688/378,7682/5529 = [GCF of 7688,7682]/[LCM of 378,5529]= 2/696654
Therefore, the GCF of 7688/378,7682/5529 is 2/696654.
To find the highest common factor of 7688,7682, we have to find the factors of both numbers and list the highest common factor.
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682
The HCF of 7688,7682 is 2.
Lets's calculate GCF of 7688,7682
| 2 | 7688, 7682 |
| 3844, 3841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7688,7682 By Matching Biggest Common Factor Method
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Now, list down the factors of 7682
:1,2,23,46,167,334,3841,7682
Greatest Common Factor
We found the factors 7688,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 7688,7682 is 2.
Lets's calculate LCM of 378,5529
| 3 | 378, 5529 |
| 126, 1843 |
∴ So the LCM of the given numbers is 3 x 126 x 1843 = 696654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/696654
Therefore, the GCF of Fractions 7688/378,7682/5529 is 2/696654
Least Common Multiple of 378,5529 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 378,5529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,5529) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,5529) x common factors =3 x 1 = 3
LCM(378,5529) = ( 378 × 5529 ) / 3
LCM(378,5529) = 2089962 / 3
LCM(378,5529) = 696654
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FAQs on GCF of Fractions of 7688/378, 7682/5529
1. What is the HCF of 7688,7682?
The HCF of 7688,7682 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 7688/378, 7682/5529?
Answer: GCF of Numerators as per given numbers 7688/378, 7682/5529 is
GCF of Numerators i.e. for 7688,7682 is 2
LCM of denominators i.e. for 378,5529 is 696654.
Thus, GCF of Fractions is 2/696654.Finally, GCF of Fractions for 7688/378, 7682/5529 is 2/696654.