Highest Common Factor of 5154, 9490 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 5154, 9490 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5154, 9490 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 5154, 9490 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 5154, 9490 is 2.
HCF(5154, 9490) = 2
HCF of 5154, 9490 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5154, 9490 is 2.
Highest Common Factor of 5154,9490 is 2
Step 1: Since 9490 > 5154, we apply the division lemma to 9490 and 5154, to get
9490 = 5154 x 1 + 4336
Step 2: Since the reminder 5154 ≠ 0, we apply division lemma to 4336 and 5154, to get
5154 = 4336 x 1 + 818
Step 3: We consider the new divisor 4336 and the new remainder 818, and apply the division lemma to get
4336 = 818 x 5 + 246
We consider the new divisor 818 and the new remainder 246,and apply the division lemma to get
818 = 246 x 3 + 80
We consider the new divisor 246 and the new remainder 80,and apply the division lemma to get
246 = 80 x 3 + 6
We consider the new divisor 80 and the new remainder 6,and apply the division lemma to get
80 = 6 x 13 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5154 and 9490 is 2
Notice that 2 = HCF(6,2) = HCF(80,6) = HCF(246,80) = HCF(818,246) = HCF(4336,818) = HCF(5154,4336) = HCF(9490,5154) .
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Frequently Asked Questions on HCF of 5154, 9490 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 5154, 9490?
Answer: HCF of 5154, 9490 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5154, 9490 using Euclid's Algorithm?
Answer: For arbitrary numbers 5154, 9490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.