GCF of 6956/752, 9902/6468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6956/752, 9902/6468 i.e 2/1215984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6956/752, 9902/6468.
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 6956/752,9902/6468?
Given fractions are 6956/752,9902/6468
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 6956/752,9902/6468, numerators are 6956,9902
Denominators are 752,6468
The GCF of 6956,9902 is 2 .
LCM of 752,6468 is 1215984.
The greatest common factor of 6956/752,9902/6468 = [GCF of 6956,9902]/[LCM of 752,6468]= 2/1215984
Therefore, the GCF of 6956/752,9902/6468 is 2/1215984.
To find the highest common factor of 6956,9902, we have to find the factors of both numbers and list the highest common factor.
The factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956
The factors of 9902 are 1, 2, 4951, 9902
The HCF of 6956,9902 is 2.
Lets's calculate GCF of 6956,9902
| 2 | 6956, 9902 |
| 3478, 4951 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6956,9902 By Matching Biggest Common Factor Method
Now, list down the factors of 6956
:1,2,4,37,47,74,94,148,188,1739,3478,6956
Now, list down the factors of 9902
:1,2,4951,9902
Greatest Common Factor
We found the factors 6956,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 6956,9902 is 2.
Lets's calculate LCM of 752,6468
| 2 | 752, 6468 |
| 2 | 376, 3234 |
| 188, 1617 |
∴ So the LCM of the given numbers is 2 x 2 x 188 x 1617 = 1215984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1215984
Therefore, the GCF of Fractions 6956/752,9902/6468 is 2/1215984
Least Common Multiple of 752,6468 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 752,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,6468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(752,6468) x common factors =4 x 1 = 4
LCM(752,6468) = ( 752 × 6468 ) / 4
LCM(752,6468) = 4863936 / 4
LCM(752,6468) = 1215984
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FAQs on GCF of Fractions of 6956/752, 9902/6468
1. What is the HCF of 6956,9902?
The HCF of 6956,9902 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 6956/752, 9902/6468?
Answer: GCF of Numerators as per given numbers 6956/752, 9902/6468 is
GCF of Numerators i.e. for 6956,9902 is 2
LCM of denominators i.e. for 752,6468 is 1215984.
Thus, GCF of Fractions is 2/1215984.Finally, GCF of Fractions for 6956/752, 9902/6468 is 2/1215984.