GCF of 1972/688, 7640/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1972/688, 7640/867 i.e 4/596496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1972/688, 7640/867.
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 1972/688,7640/867?
Given fractions are 1972/688,7640/867
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 1972/688,7640/867, numerators are 1972,7640
Denominators are 688,867
The GCF of 1972,7640 is 4 .
LCM of 688,867 is 596496.
The greatest common factor of 1972/688,7640/867 = [GCF of 1972,7640]/[LCM of 688,867]= 4/596496
Therefore, the GCF of 1972/688,7640/867 is 4/596496.
To find the highest common factor of 1972,7640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The HCF of 1972,7640 is 4.
Lets's calculate GCF of 1972,7640
| 2 | 1972, 7640 |
| 2 | 986, 3820 |
| 493, 1910 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1972,7640 By Matching Biggest Common Factor Method
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Greatest Common Factor
We found the factors 1972,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 1972,7640 is 4.
Lets's calculate LCM of 688,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 596496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/596496
Therefore, the GCF of Fractions 1972/688,7640/867 is 4/596496
Least Common Multiple of 688,867 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 688,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,867) x common factors =1 x 1 = 1
LCM(688,867) = ( 688 × 867 ) / 1
LCM(688,867) = 596496 / 1
LCM(688,867) = 596496
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1972/688, 7640/867
1. What is the HCF of 1972,7640?
The HCF of 1972,7640 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 1972/688, 7640/867?
Answer: GCF of Numerators as per given numbers 1972/688, 7640/867 is
GCF of Numerators i.e. for 1972,7640 is 4
LCM of denominators i.e. for 688,867 is 596496.
Thus, GCF of Fractions is 4/596496.Finally, GCF of Fractions for 1972/688, 7640/867 is 4/596496.