GCF of 7788/764, 6688/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7788/764, 6688/544 i.e 44/103904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7788/764, 6688/544.
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 7788/764,6688/544?
Given fractions are 7788/764,6688/544
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 7788/764,6688/544, numerators are 7788,6688
Denominators are 764,544
The GCF of 7788,6688 is 44 .
LCM of 764,544 is 103904.
The greatest common factor of 7788/764,6688/544 = [GCF of 7788,6688]/[LCM of 764,544]= 44/103904
Therefore, the GCF of 7788/764,6688/544 is 44/103904.
To find the highest common factor of 7788,6688, we have to find the factors of both numbers and list the highest common factor.
The factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
The factors of 6688 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688
The HCF of 7788,6688 is 44.
Lets's calculate GCF of 7788,6688
| 2 | 7788, 6688 |
| 2 | 3894, 3344 |
| 11 | 1947, 1672 |
| 177, 152 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 7788,6688 By Matching Biggest Common Factor Method
Now, list down the factors of 7788
:1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Now, list down the factors of 6688
:1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688
Greatest Common Factor
We found the factors 7788,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 7788,6688 is 44.
Lets's calculate LCM of 764,544
| 2 | 764, 544 |
| 2 | 382, 272 |
| 191, 136 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 136 = 103904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/103904
Therefore, the GCF of Fractions 7788/764,6688/544 is 44/103904
Least Common Multiple of 764,544 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 764,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,544) x common factors =4 x 1 = 4
LCM(764,544) = ( 764 × 544 ) / 4
LCM(764,544) = 415616 / 4
LCM(764,544) = 103904
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FAQs on GCF of Fractions of 7788/764, 6688/544
1. What is the HCF of 7788,6688?
The HCF of 7788,6688 is 44
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 7788/764, 6688/544?
Answer: GCF of Numerators as per given numbers 7788/764, 6688/544 is
GCF of Numerators i.e. for 7788,6688 is 44
LCM of denominators i.e. for 764,544 is 103904.
Thus, GCF of Fractions is 44/103904.Finally, GCF of Fractions for 7788/764, 6688/544 is 44/103904.