GCF of 7268/698, 8760/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7268/698, 8760/582 i.e 4/203118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7268/698, 8760/582.
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 7268/698,8760/582?
Given fractions are 7268/698,8760/582
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 7268/698,8760/582, numerators are 7268,8760
Denominators are 698,582
The GCF of 7268,8760 is 4 .
LCM of 698,582 is 203118.
The greatest common factor of 7268/698,8760/582 = [GCF of 7268,8760]/[LCM of 698,582]= 4/203118
Therefore, the GCF of 7268/698,8760/582 is 4/203118.
To find the highest common factor of 7268,8760, we have to find the factors of both numbers and list the highest common factor.
The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The HCF of 7268,8760 is 4.
Lets's calculate GCF of 7268,8760
| 2 | 7268, 8760 |
| 2 | 3634, 4380 |
| 1817, 2190 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7268,8760 By Matching Biggest Common Factor Method
Now, list down the factors of 7268
:1,2,4,23,46,79,92,158,316,1817,3634,7268
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 7268,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 7268,8760 is 4.
Lets's calculate LCM of 698,582
| 2 | 698, 582 |
| 349, 291 |
∴ So the LCM of the given numbers is 2 x 349 x 291 = 203118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/203118
Therefore, the GCF of Fractions 7268/698,8760/582 is 4/203118
Least Common Multiple of 698,582 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 698,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,582) x common factors =2 x 1 = 2
LCM(698,582) = ( 698 × 582 ) / 2
LCM(698,582) = 406236 / 2
LCM(698,582) = 203118
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FAQs on GCF of Fractions of 7268/698, 8760/582
1. What is the HCF of 7268,8760?
The HCF of 7268,8760 is 4
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 7268/698, 8760/582?
Answer: GCF of Numerators as per given numbers 7268/698, 8760/582 is
GCF of Numerators i.e. for 7268,8760 is 4
LCM of denominators i.e. for 698,582 is 203118.
Thus, GCF of Fractions is 4/203118.Finally, GCF of Fractions for 7268/698, 8760/582 is 4/203118.