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 3316, 8333, 78196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3316, 8333, 78196 is 1 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 3316, 8333, 78196 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 3316, 8333, 78196 is 1.
HCF(3316, 8333, 78196) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3316, 8333, 78196 is 1.
Step 1: Since 8333 > 3316, we apply the division lemma to 8333 and 3316, to get
8333 = 3316 x 2 + 1701
Step 2: Since the reminder 3316 ≠ 0, we apply division lemma to 1701 and 3316, to get
3316 = 1701 x 1 + 1615
Step 3: We consider the new divisor 1701 and the new remainder 1615, and apply the division lemma to get
1701 = 1615 x 1 + 86
We consider the new divisor 1615 and the new remainder 86,and apply the division lemma to get
1615 = 86 x 18 + 67
We consider the new divisor 86 and the new remainder 67,and apply the division lemma to get
86 = 67 x 1 + 19
We consider the new divisor 67 and the new remainder 19,and apply the division lemma to get
67 = 19 x 3 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3316 and 8333 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(67,19) = HCF(86,67) = HCF(1615,86) = HCF(1701,1615) = HCF(3316,1701) = HCF(8333,3316) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78196 > 1, we apply the division lemma to 78196 and 1, to get
78196 = 1 x 78196 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78196 is 1
Notice that 1 = HCF(78196,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3316, 8333, 78196?
Answer: HCF of 3316, 8333, 78196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3316, 8333, 78196 using Euclid's Algorithm?
Answer: For arbitrary numbers 3316, 8333, 78196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.