GCF of 6925/826, 4735/2782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6925/826, 4735/2782 i.e 5/1148966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6925/826, 4735/2782.
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 6925/826,4735/2782?
Given fractions are 6925/826,4735/2782
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 6925/826,4735/2782, numerators are 6925,4735
Denominators are 826,2782
The GCF of 6925,4735 is 5 .
LCM of 826,2782 is 1148966.
The greatest common factor of 6925/826,4735/2782 = [GCF of 6925,4735]/[LCM of 826,2782]= 5/1148966
Therefore, the GCF of 6925/826,4735/2782 is 5/1148966.
To find the highest common factor of 6925,4735, we have to find the factors of both numbers and list the highest common factor.
The factors of 6925 are 1, 5, 25, 277, 1385, 6925
The factors of 4735 are 1, 5, 947, 4735
The HCF of 6925,4735 is 5.
Lets's calculate GCF of 6925,4735
| 5 | 6925, 4735 |
| 1385, 947 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6925,4735 By Matching Biggest Common Factor Method
Now, list down the factors of 6925
:1,5,25,277,1385,6925
Now, list down the factors of 4735
:1,5,947,4735
Greatest Common Factor
We found the factors 6925,4735 . The biggest common factor number is the GCF number.
So the greatest common factor 6925,4735 is 5.
Lets's calculate LCM of 826,2782
| 2 | 826, 2782 |
| 413, 1391 |
∴ So the LCM of the given numbers is 2 x 413 x 1391 = 1148966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1148966
Therefore, the GCF of Fractions 6925/826,4735/2782 is 5/1148966
Least Common Multiple of 826,2782 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 826,2782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,2782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,2782) x common factors =2 x 1 = 2
LCM(826,2782) = ( 826 × 2782 ) / 2
LCM(826,2782) = 2297932 / 2
LCM(826,2782) = 1148966
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FAQs on GCF of Fractions of 6925/826, 4735/2782
1. What is the HCF of 6925,4735?
The HCF of 6925,4735 is 5
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 6925/826, 4735/2782?
Answer: GCF of Numerators as per given numbers 6925/826, 4735/2782 is
GCF of Numerators i.e. for 6925,4735 is 5
LCM of denominators i.e. for 826,2782 is 1148966.
Thus, GCF of Fractions is 5/1148966.Finally, GCF of Fractions for 6925/826, 4735/2782 is 5/1148966.