GCF of 5116/526, 5512/6950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5116/526, 5512/6950 i.e 4/1827850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5116/526, 5512/6950.
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 5116/526,5512/6950?
Given fractions are 5116/526,5512/6950
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 5116/526,5512/6950, numerators are 5116,5512
Denominators are 526,6950
The GCF of 5116,5512 is 4 .
LCM of 526,6950 is 1827850.
The greatest common factor of 5116/526,5512/6950 = [GCF of 5116,5512]/[LCM of 526,6950]= 4/1827850
Therefore, the GCF of 5116/526,5512/6950 is 4/1827850.
To find the highest common factor of 5116,5512, we have to find the factors of both numbers and list the highest common factor.
The factors of 5116 are 1, 2, 4, 1279, 2558, 5116
The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
The HCF of 5116,5512 is 4.
Lets's calculate GCF of 5116,5512
| 2 | 5116, 5512 |
| 2 | 2558, 2756 |
| 1279, 1378 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5116,5512 By Matching Biggest Common Factor Method
Now, list down the factors of 5116
:1,2,4,1279,2558,5116
Now, list down the factors of 5512
:1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Greatest Common Factor
We found the factors 5116,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,5512 is 4.
Lets's calculate LCM of 526,6950
| 2 | 526, 6950 |
| 263, 3475 |
∴ So the LCM of the given numbers is 2 x 263 x 3475 = 1827850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1827850
Therefore, the GCF of Fractions 5116/526,5512/6950 is 4/1827850
Least Common Multiple of 526,6950 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 526,6950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,6950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,6950) x common factors =2 x 1 = 2
LCM(526,6950) = ( 526 × 6950 ) / 2
LCM(526,6950) = 3655700 / 2
LCM(526,6950) = 1827850
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FAQs on GCF of Fractions of 5116/526, 5512/6950
1. What is the HCF of 5116,5512?
The HCF of 5116,5512 is 4
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 5116/526, 5512/6950?
Answer: GCF of Numerators as per given numbers 5116/526, 5512/6950 is
GCF of Numerators i.e. for 5116,5512 is 4
LCM of denominators i.e. for 526,6950 is 1827850.
Thus, GCF of Fractions is 4/1827850.Finally, GCF of Fractions for 5116/526, 5512/6950 is 4/1827850.