GCF of 7953/702, 1896/2859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7953/702, 1896/2859 i.e 3/669006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7953/702, 1896/2859.
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 7953/702,1896/2859?
Given fractions are 7953/702,1896/2859
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 7953/702,1896/2859, numerators are 7953,1896
Denominators are 702,2859
The GCF of 7953,1896 is 3 .
LCM of 702,2859 is 669006.
The greatest common factor of 7953/702,1896/2859 = [GCF of 7953,1896]/[LCM of 702,2859]= 3/669006
Therefore, the GCF of 7953/702,1896/2859 is 3/669006.
To find the highest common factor of 7953,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 7953,1896 is 3.
Lets's calculate GCF of 7953,1896
| 3 | 7953, 1896 |
| 2651, 632 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7953,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 7953
:1,3,11,33,241,723,2651,7953
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 7953,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,1896 is 3.
Lets's calculate LCM of 702,2859
| 3 | 702, 2859 |
| 234, 953 |
∴ So the LCM of the given numbers is 3 x 234 x 953 = 669006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/669006
Therefore, the GCF of Fractions 7953/702,1896/2859 is 3/669006
Least Common Multiple of 702,2859 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 702,2859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,2859) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(702,2859) x common factors =3 x 1 = 3
LCM(702,2859) = ( 702 × 2859 ) / 3
LCM(702,2859) = 2007018 / 3
LCM(702,2859) = 669006
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FAQs on GCF of Fractions of 7953/702, 1896/2859
1. What is the HCF of 7953,1896?
The HCF of 7953,1896 is 3
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 7953/702, 1896/2859?
Answer: GCF of Numerators as per given numbers 7953/702, 1896/2859 is
GCF of Numerators i.e. for 7953,1896 is 3
LCM of denominators i.e. for 702,2859 is 669006.
Thus, GCF of Fractions is 3/669006.Finally, GCF of Fractions for 7953/702, 1896/2859 is 3/669006.