GCF of 7130/206, 7008/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/206, 7008/770 i.e 2/79310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/206, 7008/770.
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 7130/206,7008/770?
Given fractions are 7130/206,7008/770
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 7130/206,7008/770, numerators are 7130,7008
Denominators are 206,770
The GCF of 7130,7008 is 2 .
LCM of 206,770 is 79310.
The greatest common factor of 7130/206,7008/770 = [GCF of 7130,7008]/[LCM of 206,770]= 2/79310
Therefore, the GCF of 7130/206,7008/770 is 2/79310.
To find the highest common factor of 7130,7008, we have to find the factors of both numbers and list the highest common factor.
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The factors of 7008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008
The HCF of 7130,7008 is 2.
Lets's calculate GCF of 7130,7008
| 2 | 7130, 7008 |
| 3565, 3504 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7130,7008 By Matching Biggest Common Factor Method
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Now, list down the factors of 7008
:1,2,3,4,6,8,12,16,24,32,48,73,96,146,219,292,438,584,876,1168,1752,2336,3504,7008
Greatest Common Factor
We found the factors 7130,7008 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,7008 is 2.
Lets's calculate LCM of 206,770
| 2 | 206, 770 |
| 103, 385 |
∴ So the LCM of the given numbers is 2 x 103 x 385 = 79310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79310
Therefore, the GCF of Fractions 7130/206,7008/770 is 2/79310
Least Common Multiple of 206,770 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 206,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,770) x common factors =2 x 1 = 2
LCM(206,770) = ( 206 × 770 ) / 2
LCM(206,770) = 158620 / 2
LCM(206,770) = 79310
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FAQs on GCF of Fractions of 7130/206, 7008/770
1. What is the HCF of 7130,7008?
The HCF of 7130,7008 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 7130/206, 7008/770?
Answer: GCF of Numerators as per given numbers 7130/206, 7008/770 is
GCF of Numerators i.e. for 7130,7008 is 2
LCM of denominators i.e. for 206,770 is 79310.
Thus, GCF of Fractions is 2/79310.Finally, GCF of Fractions for 7130/206, 7008/770 is 2/79310.