GCF of 547/70, 688/6082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/70, 688/6082 i.e 1/212870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/70, 688/6082.
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 547/70,688/6082?
Given fractions are 547/70,688/6082
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 547/70,688/6082, numerators are 547,688
Denominators are 70,6082
The GCF of 547,688 is 1 .
LCM of 70,6082 is 212870.
The greatest common factor of 547/70,688/6082 = [GCF of 547,688]/[LCM of 70,6082]= 1/212870
Therefore, the GCF of 547/70,688/6082 is 1/212870.
To find the highest common factor of 547,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 547,688 is 1.
Lets's calculate GCF of 547,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,688 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 547,688 . The biggest common factor number is the GCF number.
So the greatest common factor 547,688 is 1.
Lets's calculate LCM of 70,6082
| 2 | 70, 6082 |
| 35, 3041 |
∴ So the LCM of the given numbers is 2 x 35 x 3041 = 212870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212870
Therefore, the GCF of Fractions 547/70,688/6082 is 1/212870
Least Common Multiple of 70,6082 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 70,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,6082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,6082) x common factors =2 x 1 = 2
LCM(70,6082) = ( 70 × 6082 ) / 2
LCM(70,6082) = 425740 / 2
LCM(70,6082) = 212870
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FAQs on GCF of Fractions of 547/70, 688/6082
1. What is the HCF of 547,688?
The HCF of 547,688 is 1
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 547/70, 688/6082?
Answer: GCF of Numerators as per given numbers 547/70, 688/6082 is
GCF of Numerators i.e. for 547,688 is 1
LCM of denominators i.e. for 70,6082 is 212870.
Thus, GCF of Fractions is 1/212870.Finally, GCF of Fractions for 547/70, 688/6082 is 1/212870.