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 886, 4654, 9914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 4654, 9914 is 2 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 886, 4654, 9914 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 886, 4654, 9914 is 2.
HCF(886, 4654, 9914) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 4654, 9914 is 2.
Step 1: Since 4654 > 886, we apply the division lemma to 4654 and 886, to get
4654 = 886 x 5 + 224
Step 2: Since the reminder 886 ≠ 0, we apply division lemma to 224 and 886, to get
886 = 224 x 3 + 214
Step 3: We consider the new divisor 224 and the new remainder 214, and apply the division lemma to get
224 = 214 x 1 + 10
We consider the new divisor 214 and the new remainder 10,and apply the division lemma to get
214 = 10 x 21 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 886 and 4654 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(214,10) = HCF(224,214) = HCF(886,224) = HCF(4654,886) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9914 > 2, we apply the division lemma to 9914 and 2, to get
9914 = 2 x 4957 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 9914 is 2
Notice that 2 = HCF(9914,2) .
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 886, 4654, 9914?
Answer: HCF of 886, 4654, 9914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 4654, 9914 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 4654, 9914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.