GCF of 7948/140, 8692/4435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7948/140, 8692/4435 i.e 4/124180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7948/140, 8692/4435.
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 7948/140,8692/4435?
Given fractions are 7948/140,8692/4435
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 7948/140,8692/4435, numerators are 7948,8692
Denominators are 140,4435
The GCF of 7948,8692 is 4 .
LCM of 140,4435 is 124180.
The greatest common factor of 7948/140,8692/4435 = [GCF of 7948,8692]/[LCM of 140,4435]= 4/124180
Therefore, the GCF of 7948/140,8692/4435 is 4/124180.
To find the highest common factor of 7948,8692, we have to find the factors of both numbers and list the highest common factor.
The factors of 7948 are 1, 2, 4, 1987, 3974, 7948
The factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692
The HCF of 7948,8692 is 4.
Lets's calculate GCF of 7948,8692
| 2 | 7948, 8692 |
| 2 | 3974, 4346 |
| 1987, 2173 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7948,8692 By Matching Biggest Common Factor Method
Now, list down the factors of 7948
:1,2,4,1987,3974,7948
Now, list down the factors of 8692
:1,2,4,41,53,82,106,164,212,2173,4346,8692
Greatest Common Factor
We found the factors 7948,8692 . The biggest common factor number is the GCF number.
So the greatest common factor 7948,8692 is 4.
Lets's calculate LCM of 140,4435
| 5 | 140, 4435 |
| 28, 887 |
∴ So the LCM of the given numbers is 5 x 28 x 887 = 124180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/124180
Therefore, the GCF of Fractions 7948/140,8692/4435 is 4/124180
Least Common Multiple of 140,4435 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 140,4435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,4435) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(140,4435) x common factors =5 x 1 = 5
LCM(140,4435) = ( 140 × 4435 ) / 5
LCM(140,4435) = 620900 / 5
LCM(140,4435) = 124180
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7948/140, 8692/4435
1. What is the HCF of 7948,8692?
The HCF of 7948,8692 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 7948/140, 8692/4435?
Answer: GCF of Numerators as per given numbers 7948/140, 8692/4435 is
GCF of Numerators i.e. for 7948,8692 is 4
LCM of denominators i.e. for 140,4435 is 124180.
Thus, GCF of Fractions is 4/124180.Finally, GCF of Fractions for 7948/140, 8692/4435 is 4/124180.