Highest Common Factor of 9126, 6484, 71078 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 9126, 6484, 71078 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9126, 6484, 71078 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 9126, 6484, 71078 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 9126, 6484, 71078 is 2.
HCF(9126, 6484, 71078) = 2
HCF of 9126, 6484, 71078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9126, 6484, 71078 is 2.
Highest Common Factor of 9126,6484,71078 is 2
Step 1: Since 9126 > 6484, we apply the division lemma to 9126 and 6484, to get
9126 = 6484 x 1 + 2642
Step 2: Since the reminder 6484 ≠ 0, we apply division lemma to 2642 and 6484, to get
6484 = 2642 x 2 + 1200
Step 3: We consider the new divisor 2642 and the new remainder 1200, and apply the division lemma to get
2642 = 1200 x 2 + 242
We consider the new divisor 1200 and the new remainder 242,and apply the division lemma to get
1200 = 242 x 4 + 232
We consider the new divisor 242 and the new remainder 232,and apply the division lemma to get
242 = 232 x 1 + 10
We consider the new divisor 232 and the new remainder 10,and apply the division lemma to get
232 = 10 x 23 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9126 and 6484 is 2
Notice that 2 = HCF(10,2) = HCF(232,10) = HCF(242,232) = HCF(1200,242) = HCF(2642,1200) = HCF(6484,2642) = HCF(9126,6484) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71078 > 2, we apply the division lemma to 71078 and 2, to get
71078 = 2 x 35539 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 71078 is 2
Notice that 2 = HCF(71078,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9126, 6484, 71078 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 9126, 6484, 71078?
Answer: HCF of 9126, 6484, 71078 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9126, 6484, 71078 using Euclid's Algorithm?
Answer: For arbitrary numbers 9126, 6484, 71078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.