GCF of 5078/524, 7656/1674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5078/524, 7656/1674 i.e 2/438588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5078/524, 7656/1674.
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 5078/524,7656/1674?
Given fractions are 5078/524,7656/1674
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 5078/524,7656/1674, numerators are 5078,7656
Denominators are 524,1674
The GCF of 5078,7656 is 2 .
LCM of 524,1674 is 438588.
The greatest common factor of 5078/524,7656/1674 = [GCF of 5078,7656]/[LCM of 524,1674]= 2/438588
Therefore, the GCF of 5078/524,7656/1674 is 2/438588.
To find the highest common factor of 5078,7656, we have to find the factors of both numbers and list the highest common factor.
The factors of 5078 are 1, 2, 2539, 5078
The factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656
The HCF of 5078,7656 is 2.
Lets's calculate GCF of 5078,7656
| 2 | 5078, 7656 |
| 2539, 3828 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5078,7656 By Matching Biggest Common Factor Method
Now, list down the factors of 5078
:1,2,2539,5078
Now, list down the factors of 7656
:1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Greatest Common Factor
We found the factors 5078,7656 . The biggest common factor number is the GCF number.
So the greatest common factor 5078,7656 is 2.
Lets's calculate LCM of 524,1674
| 2 | 524, 1674 |
| 262, 837 |
∴ So the LCM of the given numbers is 2 x 262 x 837 = 438588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/438588
Therefore, the GCF of Fractions 5078/524,7656/1674 is 2/438588
Least Common Multiple of 524,1674 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 524,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,1674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,1674) x common factors =2 x 1 = 2
LCM(524,1674) = ( 524 × 1674 ) / 2
LCM(524,1674) = 877176 / 2
LCM(524,1674) = 438588
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FAQs on GCF of Fractions of 5078/524, 7656/1674
1. What is the HCF of 5078,7656?
The HCF of 5078,7656 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 5078/524, 7656/1674?
Answer: GCF of Numerators as per given numbers 5078/524, 7656/1674 is
GCF of Numerators i.e. for 5078,7656 is 2
LCM of denominators i.e. for 524,1674 is 438588.
Thus, GCF of Fractions is 2/438588.Finally, GCF of Fractions for 5078/524, 7656/1674 is 2/438588.