GCF of 4379/986, 7472/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4379/986, 7472/360 i.e 1/177480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4379/986, 7472/360.
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 4379/986,7472/360?
Given fractions are 4379/986,7472/360
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 4379/986,7472/360, numerators are 4379,7472
Denominators are 986,360
The GCF of 4379,7472 is 1 .
LCM of 986,360 is 177480.
The greatest common factor of 4379/986,7472/360 = [GCF of 4379,7472]/[LCM of 986,360]= 1/177480
Therefore, the GCF of 4379/986,7472/360 is 1/177480.
To find the highest common factor of 4379,7472, we have to find the factors of both numbers and list the highest common factor.
The factors of 4379 are 1, 29, 151, 4379
The factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472
The HCF of 4379,7472 is 1.
Lets's calculate GCF of 4379,7472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4379,7472 By Matching Biggest Common Factor Method
Now, list down the factors of 4379
:1,29,151,4379
Now, list down the factors of 7472
:1,2,4,8,16,467,934,1868,3736,7472
Greatest Common Factor
We found the factors 4379,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 4379,7472 is 1.
Lets's calculate LCM of 986,360
| 2 | 986, 360 |
| 493, 180 |
∴ So the LCM of the given numbers is 2 x 493 x 180 = 177480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177480
Therefore, the GCF of Fractions 4379/986,7472/360 is 1/177480
Least Common Multiple of 986,360 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 986,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,360) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,360) x common factors =2 x 1 = 2
LCM(986,360) = ( 986 × 360 ) / 2
LCM(986,360) = 354960 / 2
LCM(986,360) = 177480
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FAQs on GCF of Fractions of 4379/986, 7472/360
1. What is the HCF of 4379,7472?
The HCF of 4379,7472 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 4379/986, 7472/360?
Answer: GCF of Numerators as per given numbers 4379/986, 7472/360 is
GCF of Numerators i.e. for 4379,7472 is 1
LCM of denominators i.e. for 986,360 is 177480.
Thus, GCF of Fractions is 1/177480.Finally, GCF of Fractions for 4379/986, 7472/360 is 1/177480.