GCF of 7808/943, 8782/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7808/943, 8782/240 i.e 2/226320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7808/943, 8782/240.
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 7808/943,8782/240?
Given fractions are 7808/943,8782/240
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 7808/943,8782/240, numerators are 7808,8782
Denominators are 943,240
The GCF of 7808,8782 is 2 .
LCM of 943,240 is 226320.
The greatest common factor of 7808/943,8782/240 = [GCF of 7808,8782]/[LCM of 943,240]= 2/226320
Therefore, the GCF of 7808/943,8782/240 is 2/226320.
To find the highest common factor of 7808,8782, we have to find the factors of both numbers and list the highest common factor.
The factors of 7808 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904, 7808
The factors of 8782 are 1, 2, 4391, 8782
The HCF of 7808,8782 is 2.
Lets's calculate GCF of 7808,8782
| 2 | 7808, 8782 |
| 3904, 4391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7808,8782 By Matching Biggest Common Factor Method
Now, list down the factors of 7808
:1,2,4,8,16,32,61,64,122,128,244,488,976,1952,3904,7808
Now, list down the factors of 8782
:1,2,4391,8782
Greatest Common Factor
We found the factors 7808,8782 . The biggest common factor number is the GCF number.
So the greatest common factor 7808,8782 is 2.
Lets's calculate LCM of 943,240
Given numbers has no common factors except 1. So, there LCM is their product i.e 226320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226320
Therefore, the GCF of Fractions 7808/943,8782/240 is 2/226320
Least Common Multiple of 943,240 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 943,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,240) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,240) x common factors =1 x 1 = 1
LCM(943,240) = ( 943 × 240 ) / 1
LCM(943,240) = 226320 / 1
LCM(943,240) = 226320
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FAQs on GCF of Fractions of 7808/943, 8782/240
1. What is the HCF of 7808,8782?
The HCF of 7808,8782 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 7808/943, 8782/240?
Answer: GCF of Numerators as per given numbers 7808/943, 8782/240 is
GCF of Numerators i.e. for 7808,8782 is 2
LCM of denominators i.e. for 943,240 is 226320.
Thus, GCF of Fractions is 2/226320.Finally, GCF of Fractions for 7808/943, 8782/240 is 2/226320.