GCF of 1351/848, 7164/9580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1351/848, 7164/9580 i.e 1/2030960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/848, 7164/9580.
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 1351/848,7164/9580?
Given fractions are 1351/848,7164/9580
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 1351/848,7164/9580, numerators are 1351,7164
Denominators are 848,9580
The GCF of 1351,7164 is 1 .
LCM of 848,9580 is 2030960.
The greatest common factor of 1351/848,7164/9580 = [GCF of 1351,7164]/[LCM of 848,9580]= 1/2030960
Therefore, the GCF of 1351/848,7164/9580 is 1/2030960.
To find the highest common factor of 1351,7164, we have to find the factors of both numbers and list the highest common factor.
The factors of 1351 are 1, 7, 193, 1351
The factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The HCF of 1351,7164 is 1.
Lets's calculate GCF of 1351,7164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1351,7164 By Matching Biggest Common Factor Method
Now, list down the factors of 1351
:1,7,193,1351
Now, list down the factors of 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Greatest Common Factor
We found the factors 1351,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,7164 is 1.
Lets's calculate LCM of 848,9580
| 2 | 848, 9580 |
| 2 | 424, 4790 |
| 212, 2395 |
∴ So the LCM of the given numbers is 2 x 2 x 212 x 2395 = 2030960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2030960
Therefore, the GCF of Fractions 1351/848,7164/9580 is 1/2030960
Least Common Multiple of 848,9580 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 848,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,9580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(848,9580) x common factors =4 x 1 = 4
LCM(848,9580) = ( 848 × 9580 ) / 4
LCM(848,9580) = 8123840 / 4
LCM(848,9580) = 2030960
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FAQs on GCF of Fractions of 1351/848, 7164/9580
1. What is the HCF of 1351,7164?
The HCF of 1351,7164 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 1351/848, 7164/9580?
Answer: GCF of Numerators as per given numbers 1351/848, 7164/9580 is
GCF of Numerators i.e. for 1351,7164 is 1
LCM of denominators i.e. for 848,9580 is 2030960.
Thus, GCF of Fractions is 1/2030960.Finally, GCF of Fractions for 1351/848, 7164/9580 is 1/2030960.