GCF of 1700/690, 7768/5656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1700/690, 7768/5656 i.e 4/1951320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1700/690, 7768/5656.
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 1700/690,7768/5656?
Given fractions are 1700/690,7768/5656
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 1700/690,7768/5656, numerators are 1700,7768
Denominators are 690,5656
The GCF of 1700,7768 is 4 .
LCM of 690,5656 is 1951320.
The greatest common factor of 1700/690,7768/5656 = [GCF of 1700,7768]/[LCM of 690,5656]= 4/1951320
Therefore, the GCF of 1700/690,7768/5656 is 4/1951320.
To find the highest common factor of 1700,7768, we have to find the factors of both numbers and list the highest common factor.
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700
The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768
The HCF of 1700,7768 is 4.
Lets's calculate GCF of 1700,7768
| 2 | 1700, 7768 |
| 2 | 850, 3884 |
| 425, 1942 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1700,7768 By Matching Biggest Common Factor Method
Now, list down the factors of 1700
:1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Now, list down the factors of 7768
:1,2,4,8,971,1942,3884,7768
Greatest Common Factor
We found the factors 1700,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 1700,7768 is 4.
Lets's calculate LCM of 690,5656
| 2 | 690, 5656 |
| 345, 2828 |
∴ So the LCM of the given numbers is 2 x 345 x 2828 = 1951320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1951320
Therefore, the GCF of Fractions 1700/690,7768/5656 is 4/1951320
Least Common Multiple of 690,5656 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 690,5656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,5656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,5656) x common factors =2 x 1 = 2
LCM(690,5656) = ( 690 × 5656 ) / 2
LCM(690,5656) = 3902640 / 2
LCM(690,5656) = 1951320
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FAQs on GCF of Fractions of 1700/690, 7768/5656
1. What is the HCF of 1700,7768?
The HCF of 1700,7768 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 1700/690, 7768/5656?
Answer: GCF of Numerators as per given numbers 1700/690, 7768/5656 is
GCF of Numerators i.e. for 1700,7768 is 4
LCM of denominators i.e. for 690,5656 is 1951320.
Thus, GCF of Fractions is 4/1951320.Finally, GCF of Fractions for 1700/690, 7768/5656 is 4/1951320.