GCF of 7495/736, 7105/3448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7495/736, 7105/3448 i.e 5/317216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7495/736, 7105/3448.
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 7495/736,7105/3448?
Given fractions are 7495/736,7105/3448
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 7495/736,7105/3448, numerators are 7495,7105
Denominators are 736,3448
The GCF of 7495,7105 is 5 .
LCM of 736,3448 is 317216.
The greatest common factor of 7495/736,7105/3448 = [GCF of 7495,7105]/[LCM of 736,3448]= 5/317216
Therefore, the GCF of 7495/736,7105/3448 is 5/317216.
To find the highest common factor of 7495,7105, we have to find the factors of both numbers and list the highest common factor.
The factors of 7495 are 1, 5, 1499, 7495
The factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105
The HCF of 7495,7105 is 5.
Lets's calculate GCF of 7495,7105
| 5 | 7495, 7105 |
| 1499, 1421 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7495,7105 By Matching Biggest Common Factor Method
Now, list down the factors of 7495
:1,5,1499,7495
Now, list down the factors of 7105
:1,5,7,29,35,49,145,203,245,1015,1421,7105
Greatest Common Factor
We found the factors 7495,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 7495,7105 is 5.
Lets's calculate LCM of 736,3448
| 2 | 736, 3448 |
| 2 | 368, 1724 |
| 2 | 184, 862 |
| 92, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 431 = 317216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/317216
Therefore, the GCF of Fractions 7495/736,7105/3448 is 5/317216
Least Common Multiple of 736,3448 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 736,3448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,3448) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(736,3448) x common factors =8 x 1 = 8
LCM(736,3448) = ( 736 × 3448 ) / 8
LCM(736,3448) = 2537728 / 8
LCM(736,3448) = 317216
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FAQs on GCF of Fractions of 7495/736, 7105/3448
1. What is the HCF of 7495,7105?
The HCF of 7495,7105 is 5
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 7495/736, 7105/3448?
Answer: GCF of Numerators as per given numbers 7495/736, 7105/3448 is
GCF of Numerators i.e. for 7495,7105 is 5
LCM of denominators i.e. for 736,3448 is 317216.
Thus, GCF of Fractions is 5/317216.Finally, GCF of Fractions for 7495/736, 7105/3448 is 5/317216.