GCF of 7778/348, 6145/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7778/348, 6145/896 i.e 1/77952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7778/348, 6145/896.
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 7778/348,6145/896?
Given fractions are 7778/348,6145/896
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 7778/348,6145/896, numerators are 7778,6145
Denominators are 348,896
The GCF of 7778,6145 is 1 .
LCM of 348,896 is 77952.
The greatest common factor of 7778/348,6145/896 = [GCF of 7778,6145]/[LCM of 348,896]= 1/77952
Therefore, the GCF of 7778/348,6145/896 is 1/77952.
To find the highest common factor of 7778,6145, we have to find the factors of both numbers and list the highest common factor.
The factors of 7778 are 1, 2, 3889, 7778
The factors of 6145 are 1, 5, 1229, 6145
The HCF of 7778,6145 is 1.
Lets's calculate GCF of 7778,6145
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7778,6145 By Matching Biggest Common Factor Method
Now, list down the factors of 7778
:1,2,3889,7778
Now, list down the factors of 6145
:1,5,1229,6145
Greatest Common Factor
We found the factors 7778,6145 . The biggest common factor number is the GCF number.
So the greatest common factor 7778,6145 is 1.
Lets's calculate LCM of 348,896
| 2 | 348, 896 |
| 2 | 174, 448 |
| 87, 224 |
∴ So the LCM of the given numbers is 2 x 2 x 87 x 224 = 77952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77952
Therefore, the GCF of Fractions 7778/348,6145/896 is 1/77952
Least Common Multiple of 348,896 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 348,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,896) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(348,896) x common factors =4 x 1 = 4
LCM(348,896) = ( 348 × 896 ) / 4
LCM(348,896) = 311808 / 4
LCM(348,896) = 77952
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FAQs on GCF of Fractions of 7778/348, 6145/896
1. What is the HCF of 7778,6145?
The HCF of 7778,6145 is 1
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 7778/348, 6145/896?
Answer: GCF of Numerators as per given numbers 7778/348, 6145/896 is
GCF of Numerators i.e. for 7778,6145 is 1
LCM of denominators i.e. for 348,896 is 77952.
Thus, GCF of Fractions is 1/77952.Finally, GCF of Fractions for 7778/348, 6145/896 is 1/77952.