Highest Common Factor of 9110, 1912 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 9110, 1912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9110, 1912 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 9110, 1912 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 9110, 1912 is 2.
HCF(9110, 1912) = 2
HCF of 9110, 1912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9110, 1912 is 2.
Highest Common Factor of 9110,1912 is 2
Step 1: Since 9110 > 1912, we apply the division lemma to 9110 and 1912, to get
9110 = 1912 x 4 + 1462
Step 2: Since the reminder 1912 ≠ 0, we apply division lemma to 1462 and 1912, to get
1912 = 1462 x 1 + 450
Step 3: We consider the new divisor 1462 and the new remainder 450, and apply the division lemma to get
1462 = 450 x 3 + 112
We consider the new divisor 450 and the new remainder 112,and apply the division lemma to get
450 = 112 x 4 + 2
We consider the new divisor 112 and the new remainder 2,and apply the division lemma to get
112 = 2 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9110 and 1912 is 2
Notice that 2 = HCF(112,2) = HCF(450,112) = HCF(1462,450) = HCF(1912,1462) = HCF(9110,1912) .
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Frequently Asked Questions on HCF of 9110, 1912 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 9110, 1912?
Answer: HCF of 9110, 1912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9110, 1912 using Euclid's Algorithm?
Answer: For arbitrary numbers 9110, 1912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.