GCF of 9808/310, 1282/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9808/310, 1282/761 i.e 2/235910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9808/310, 1282/761.
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 9808/310,1282/761?
Given fractions are 9808/310,1282/761
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 9808/310,1282/761, numerators are 9808,1282
Denominators are 310,761
The GCF of 9808,1282 is 2 .
LCM of 310,761 is 235910.
The greatest common factor of 9808/310,1282/761 = [GCF of 9808,1282]/[LCM of 310,761]= 2/235910
Therefore, the GCF of 9808/310,1282/761 is 2/235910.
To find the highest common factor of 9808,1282, we have to find the factors of both numbers and list the highest common factor.
The factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808
The factors of 1282 are 1, 2, 641, 1282
The HCF of 9808,1282 is 2.
Lets's calculate GCF of 9808,1282
| 2 | 9808, 1282 |
| 4904, 641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9808,1282 By Matching Biggest Common Factor Method
Now, list down the factors of 9808
:1,2,4,8,16,613,1226,2452,4904,9808
Now, list down the factors of 1282
:1,2,641,1282
Greatest Common Factor
We found the factors 9808,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 9808,1282 is 2.
Lets's calculate LCM of 310,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 235910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235910
Therefore, the GCF of Fractions 9808/310,1282/761 is 2/235910
Least Common Multiple of 310,761 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 310,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,761) x common factors =1 x 1 = 1
LCM(310,761) = ( 310 × 761 ) / 1
LCM(310,761) = 235910 / 1
LCM(310,761) = 235910
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FAQs on GCF of Fractions of 9808/310, 1282/761
1. What is the HCF of 9808,1282?
The HCF of 9808,1282 is 2
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 9808/310, 1282/761?
Answer: GCF of Numerators as per given numbers 9808/310, 1282/761 is
GCF of Numerators i.e. for 9808,1282 is 2
LCM of denominators i.e. for 310,761 is 235910.
Thus, GCF of Fractions is 2/235910.Finally, GCF of Fractions for 9808/310, 1282/761 is 2/235910.