Highest Common Factor of 333, 861, 942 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 333, 861, 942 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 333, 861, 942 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 333, 861, 942 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 333, 861, 942 is 3.
HCF(333, 861, 942) = 3
HCF of 333, 861, 942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 333, 861, 942 is 3.
Highest Common Factor of 333,861,942 is 3
Step 1: Since 861 > 333, we apply the division lemma to 861 and 333, to get
861 = 333 x 2 + 195
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 195 and 333, to get
333 = 195 x 1 + 138
Step 3: We consider the new divisor 195 and the new remainder 138, and apply the division lemma to get
195 = 138 x 1 + 57
We consider the new divisor 138 and the new remainder 57,and apply the division lemma to get
138 = 57 x 2 + 24
We consider the new divisor 57 and the new remainder 24,and apply the division lemma to get
57 = 24 x 2 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 333 and 861 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(57,24) = HCF(138,57) = HCF(195,138) = HCF(333,195) = HCF(861,333) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 3, we apply the division lemma to 942 and 3, to get
942 = 3 x 314 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 942 is 3
Notice that 3 = HCF(942,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 333, 861, 942 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 333, 861, 942?
Answer: HCF of 333, 861, 942 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 333, 861, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 333, 861, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.