GCF of 8358/688, 9704/4257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8358/688, 9704/4257 i.e 2/68112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8358/688, 9704/4257.
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 8358/688,9704/4257?
Given fractions are 8358/688,9704/4257
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 8358/688,9704/4257, numerators are 8358,9704
Denominators are 688,4257
The GCF of 8358,9704 is 2 .
LCM of 688,4257 is 68112.
The greatest common factor of 8358/688,9704/4257 = [GCF of 8358,9704]/[LCM of 688,4257]= 2/68112
Therefore, the GCF of 8358/688,9704/4257 is 2/68112.
To find the highest common factor of 8358,9704, we have to find the factors of both numbers and list the highest common factor.
The factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The HCF of 8358,9704 is 2.
Lets's calculate GCF of 8358,9704
| 2 | 8358, 9704 |
| 4179, 4852 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8358,9704 By Matching Biggest Common Factor Method
Now, list down the factors of 8358
:1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors 8358,9704 . The biggest common factor number is the GCF number.
So the greatest common factor 8358,9704 is 2.
Lets's calculate LCM of 688,4257
| 43 | 688, 4257 |
| 16, 99 |
∴ So the LCM of the given numbers is 43 x 16 x 99 = 68112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68112
Therefore, the GCF of Fractions 8358/688,9704/4257 is 2/68112
Least Common Multiple of 688,4257 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 688,4257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,4257) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(688,4257) x common factors =43 x 1 = 43
LCM(688,4257) = ( 688 × 4257 ) / 43
LCM(688,4257) = 2928816 / 43
LCM(688,4257) = 68112
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FAQs on GCF of Fractions of 8358/688, 9704/4257
1. What is the HCF of 8358,9704?
The HCF of 8358,9704 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 8358/688, 9704/4257?
Answer: GCF of Numerators as per given numbers 8358/688, 9704/4257 is
GCF of Numerators i.e. for 8358,9704 is 2
LCM of denominators i.e. for 688,4257 is 68112.
Thus, GCF of Fractions is 2/68112.Finally, GCF of Fractions for 8358/688, 9704/4257 is 2/68112.