GCF of 7058/952, 8008/7288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7058/952, 8008/7288 i.e 2/867272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7058/952, 8008/7288.
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 7058/952,8008/7288?
Given fractions are 7058/952,8008/7288
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 7058/952,8008/7288, numerators are 7058,8008
Denominators are 952,7288
The GCF of 7058,8008 is 2 .
LCM of 952,7288 is 867272.
The greatest common factor of 7058/952,8008/7288 = [GCF of 7058,8008]/[LCM of 952,7288]= 2/867272
Therefore, the GCF of 7058/952,8008/7288 is 2/867272.
To find the highest common factor of 7058,8008, we have to find the factors of both numbers and list the highest common factor.
The factors of 7058 are 1, 2, 3529, 7058
The factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008
The HCF of 7058,8008 is 2.
Lets's calculate GCF of 7058,8008
| 2 | 7058, 8008 |
| 3529, 4004 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7058,8008 By Matching Biggest Common Factor Method
Now, list down the factors of 7058
:1,2,3529,7058
Now, list down the factors of 8008
:1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008
Greatest Common Factor
We found the factors 7058,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 7058,8008 is 2.
Lets's calculate LCM of 952,7288
| 2 | 952, 7288 |
| 2 | 476, 3644 |
| 2 | 238, 1822 |
| 119, 911 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 911 = 867272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/867272
Therefore, the GCF of Fractions 7058/952,8008/7288 is 2/867272
Least Common Multiple of 952,7288 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 952,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,7288) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(952,7288) x common factors =8 x 1 = 8
LCM(952,7288) = ( 952 × 7288 ) / 8
LCM(952,7288) = 6938176 / 8
LCM(952,7288) = 867272
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FAQs on GCF of Fractions of 7058/952, 8008/7288
1. What is the HCF of 7058,8008?
The HCF of 7058,8008 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 7058/952, 8008/7288?
Answer: GCF of Numerators as per given numbers 7058/952, 8008/7288 is
GCF of Numerators i.e. for 7058,8008 is 2
LCM of denominators i.e. for 952,7288 is 867272.
Thus, GCF of Fractions is 2/867272.Finally, GCF of Fractions for 7058/952, 8008/7288 is 2/867272.