GCF of 7048/298, 6946/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7048/298, 6946/900 i.e 2/134100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7048/298, 6946/900.
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 7048/298,6946/900?
Given fractions are 7048/298,6946/900
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 7048/298,6946/900, numerators are 7048,6946
Denominators are 298,900
The GCF of 7048,6946 is 2 .
LCM of 298,900 is 134100.
The greatest common factor of 7048/298,6946/900 = [GCF of 7048,6946]/[LCM of 298,900]= 2/134100
Therefore, the GCF of 7048/298,6946/900 is 2/134100.
To find the highest common factor of 7048,6946, we have to find the factors of both numbers and list the highest common factor.
The factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048
The factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946
The HCF of 7048,6946 is 2.
Lets's calculate GCF of 7048,6946
| 2 | 7048, 6946 |
| 3524, 3473 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7048,6946 By Matching Biggest Common Factor Method
Now, list down the factors of 7048
:1,2,4,8,881,1762,3524,7048
Now, list down the factors of 6946
:1,2,23,46,151,302,3473,6946
Greatest Common Factor
We found the factors 7048,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 7048,6946 is 2.
Lets's calculate LCM of 298,900
| 2 | 298, 900 |
| 149, 450 |
∴ So the LCM of the given numbers is 2 x 149 x 450 = 134100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134100
Therefore, the GCF of Fractions 7048/298,6946/900 is 2/134100
Least Common Multiple of 298,900 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 298,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,900) x common factors =2 x 1 = 2
LCM(298,900) = ( 298 × 900 ) / 2
LCM(298,900) = 268200 / 2
LCM(298,900) = 134100
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FAQs on GCF of Fractions of 7048/298, 6946/900
1. What is the HCF of 7048,6946?
The HCF of 7048,6946 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 7048/298, 6946/900?
Answer: GCF of Numerators as per given numbers 7048/298, 6946/900 is
GCF of Numerators i.e. for 7048,6946 is 2
LCM of denominators i.e. for 298,900 is 134100.
Thus, GCF of Fractions is 2/134100.Finally, GCF of Fractions for 7048/298, 6946/900 is 2/134100.