GCF of 7907/498, 5675/5730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7907/498, 5675/5730 i.e 1/475590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7907/498, 5675/5730.
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 7907/498,5675/5730?
Given fractions are 7907/498,5675/5730
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 7907/498,5675/5730, numerators are 7907,5675
Denominators are 498,5730
The GCF of 7907,5675 is 1 .
LCM of 498,5730 is 475590.
The greatest common factor of 7907/498,5675/5730 = [GCF of 7907,5675]/[LCM of 498,5730]= 1/475590
Therefore, the GCF of 7907/498,5675/5730 is 1/475590.
To find the highest common factor of 7907,5675, we have to find the factors of both numbers and list the highest common factor.
The factors of 7907 are 1, 7907
The factors of 5675 are 1, 5, 25, 227, 1135, 5675
The HCF of 7907,5675 is 1.
Lets's calculate GCF of 7907,5675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7907,5675 By Matching Biggest Common Factor Method
Now, list down the factors of 7907
:1,7907
Now, list down the factors of 5675
:1,5,25,227,1135,5675
Greatest Common Factor
We found the factors 7907,5675 . The biggest common factor number is the GCF number.
So the greatest common factor 7907,5675 is 1.
Lets's calculate LCM of 498,5730
| 2 | 498, 5730 |
| 3 | 249, 2865 |
| 83, 955 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 955 = 475590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475590
Therefore, the GCF of Fractions 7907/498,5675/5730 is 1/475590
Least Common Multiple of 498,5730 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 498,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,5730) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,5730) x common factors =6 x 1 = 6
LCM(498,5730) = ( 498 × 5730 ) / 6
LCM(498,5730) = 2853540 / 6
LCM(498,5730) = 475590
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FAQs on GCF of Fractions of 7907/498, 5675/5730
1. What is the HCF of 7907,5675?
The HCF of 7907,5675 is 1
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 7907/498, 5675/5730?
Answer: GCF of Numerators as per given numbers 7907/498, 5675/5730 is
GCF of Numerators i.e. for 7907,5675 is 1
LCM of denominators i.e. for 498,5730 is 475590.
Thus, GCF of Fractions is 1/475590.Finally, GCF of Fractions for 7907/498, 5675/5730 is 1/475590.