GCF of 6952/167, 2812/1778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6952/167, 2812/1778 i.e 4/296926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6952/167, 2812/1778.
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 6952/167,2812/1778?
Given fractions are 6952/167,2812/1778
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 6952/167,2812/1778, numerators are 6952,2812
Denominators are 167,1778
The GCF of 6952,2812 is 4 .
LCM of 167,1778 is 296926.
The greatest common factor of 6952/167,2812/1778 = [GCF of 6952,2812]/[LCM of 167,1778]= 4/296926
Therefore, the GCF of 6952/167,2812/1778 is 4/296926.
To find the highest common factor of 6952,2812, we have to find the factors of both numbers and list the highest common factor.
The factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The HCF of 6952,2812 is 4.
Lets's calculate GCF of 6952,2812
| 2 | 6952, 2812 |
| 2 | 3476, 1406 |
| 1738, 703 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6952,2812 By Matching Biggest Common Factor Method
Now, list down the factors of 6952
:1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Greatest Common Factor
We found the factors 6952,2812 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,2812 is 4.
Lets's calculate LCM of 167,1778
Given numbers has no common factors except 1. So, there LCM is their product i.e 296926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/296926
Therefore, the GCF of Fractions 6952/167,2812/1778 is 4/296926
Least Common Multiple of 167,1778 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 167,1778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,1778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,1778) x common factors =1 x 1 = 1
LCM(167,1778) = ( 167 × 1778 ) / 1
LCM(167,1778) = 296926 / 1
LCM(167,1778) = 296926
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FAQs on GCF of Fractions of 6952/167, 2812/1778
1. What is the HCF of 6952,2812?
The HCF of 6952,2812 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 6952/167, 2812/1778?
Answer: GCF of Numerators as per given numbers 6952/167, 2812/1778 is
GCF of Numerators i.e. for 6952,2812 is 4
LCM of denominators i.e. for 167,1778 is 296926.
Thus, GCF of Fractions is 4/296926.Finally, GCF of Fractions for 6952/167, 2812/1778 is 4/296926.