GCF of 2872/375, 7808/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2872/375, 7808/657 i.e 8/82125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2872/375, 7808/657.
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 2872/375,7808/657?
Given fractions are 2872/375,7808/657
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 2872/375,7808/657, numerators are 2872,7808
Denominators are 375,657
The GCF of 2872,7808 is 8 .
LCM of 375,657 is 82125.
The greatest common factor of 2872/375,7808/657 = [GCF of 2872,7808]/[LCM of 375,657]= 8/82125
Therefore, the GCF of 2872/375,7808/657 is 8/82125.
To find the highest common factor of 2872,7808, we have to find the factors of both numbers and list the highest common factor.
The factors of 2872 are 1, 2, 4, 8, 359, 718, 1436, 2872
The factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808
The HCF of 2872,7808 is 8.
Lets's calculate GCF of 2872,7808
| 2 | 2872, 7808 |
| 2 | 1436, 3904 |
| 2 | 718, 1952 |
| 359, 976 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2872,7808 By Matching Biggest Common Factor Method
Now, list down the factors of 2872
:1,2,4,8,359,718,1436,2872
Now, list down the factors of 7808
:1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Greatest Common Factor
We found the factors 2872,7808 . The biggest common factor number is the GCF number.
So the greatest common factor 2872,7808 is 8.
Lets's calculate LCM of 375,657
| 3 | 375, 657 |
| 125, 219 |
∴ So the LCM of the given numbers is 3 x 125 x 219 = 82125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/82125
Therefore, the GCF of Fractions 2872/375,7808/657 is 8/82125
Least Common Multiple of 375,657 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 375,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,657) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(375,657) x common factors =3 x 1 = 3
LCM(375,657) = ( 375 × 657 ) / 3
LCM(375,657) = 246375 / 3
LCM(375,657) = 82125
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FAQs on GCF of Fractions of 2872/375, 7808/657
1. What is the HCF of 2872,7808?
The HCF of 2872,7808 is 8
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 2872/375, 7808/657?
Answer: GCF of Numerators as per given numbers 2872/375, 7808/657 is
GCF of Numerators i.e. for 2872,7808 is 8
LCM of denominators i.e. for 375,657 is 82125.
Thus, GCF of Fractions is 8/82125.Finally, GCF of Fractions for 2872/375, 7808/657 is 8/82125.