Highest Common Factor of 9278, 1206 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 9278, 1206 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9278, 1206 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 9278, 1206 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 9278, 1206 is 2.
HCF(9278, 1206) = 2
HCF of 9278, 1206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9278, 1206 is 2.
Highest Common Factor of 9278,1206 is 2
Step 1: Since 9278 > 1206, we apply the division lemma to 9278 and 1206, to get
9278 = 1206 x 7 + 836
Step 2: Since the reminder 1206 ≠ 0, we apply division lemma to 836 and 1206, to get
1206 = 836 x 1 + 370
Step 3: We consider the new divisor 836 and the new remainder 370, and apply the division lemma to get
836 = 370 x 2 + 96
We consider the new divisor 370 and the new remainder 96,and apply the division lemma to get
370 = 96 x 3 + 82
We consider the new divisor 96 and the new remainder 82,and apply the division lemma to get
96 = 82 x 1 + 14
We consider the new divisor 82 and the new remainder 14,and apply the division lemma to get
82 = 14 x 5 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9278 and 1206 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(82,14) = HCF(96,82) = HCF(370,96) = HCF(836,370) = HCF(1206,836) = HCF(9278,1206) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9278, 1206 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 9278, 1206?
Answer: HCF of 9278, 1206 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9278, 1206 using Euclid's Algorithm?
Answer: For arbitrary numbers 9278, 1206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.