GCF of 7556/942, 9210/6526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7556/942, 9210/6526 i.e 2/3073746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7556/942, 9210/6526.
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 7556/942,9210/6526?
Given fractions are 7556/942,9210/6526
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 7556/942,9210/6526, numerators are 7556,9210
Denominators are 942,6526
The GCF of 7556,9210 is 2 .
LCM of 942,6526 is 3073746.
The greatest common factor of 7556/942,9210/6526 = [GCF of 7556,9210]/[LCM of 942,6526]= 2/3073746
Therefore, the GCF of 7556/942,9210/6526 is 2/3073746.
To find the highest common factor of 7556,9210, we have to find the factors of both numbers and list the highest common factor.
The factors of 7556 are 1, 2, 4, 1889, 3778, 7556
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The HCF of 7556,9210 is 2.
Lets's calculate GCF of 7556,9210
| 2 | 7556, 9210 |
| 3778, 4605 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7556,9210 By Matching Biggest Common Factor Method
Now, list down the factors of 7556
:1,2,4,1889,3778,7556
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 7556,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 7556,9210 is 2.
Lets's calculate LCM of 942,6526
| 2 | 942, 6526 |
| 471, 3263 |
∴ So the LCM of the given numbers is 2 x 471 x 3263 = 3073746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3073746
Therefore, the GCF of Fractions 7556/942,9210/6526 is 2/3073746
Least Common Multiple of 942,6526 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 942,6526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,6526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,6526) x common factors =2 x 1 = 2
LCM(942,6526) = ( 942 × 6526 ) / 2
LCM(942,6526) = 6147492 / 2
LCM(942,6526) = 3073746
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FAQs on GCF of Fractions of 7556/942, 9210/6526
1. What is the HCF of 7556,9210?
The HCF of 7556,9210 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 7556/942, 9210/6526?
Answer: GCF of Numerators as per given numbers 7556/942, 9210/6526 is
GCF of Numerators i.e. for 7556,9210 is 2
LCM of denominators i.e. for 942,6526 is 3073746.
Thus, GCF of Fractions is 2/3073746.Finally, GCF of Fractions for 7556/942, 9210/6526 is 2/3073746.