Highest Common Factor of 5113, 9249 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 5113, 9249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5113, 9249 is 1 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 5113, 9249 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 5113, 9249 is 1.
HCF(5113, 9249) = 1
HCF of 5113, 9249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5113, 9249 is 1.
Highest Common Factor of 5113,9249 is 1
Step 1: Since 9249 > 5113, we apply the division lemma to 9249 and 5113, to get
9249 = 5113 x 1 + 4136
Step 2: Since the reminder 5113 ≠ 0, we apply division lemma to 4136 and 5113, to get
5113 = 4136 x 1 + 977
Step 3: We consider the new divisor 4136 and the new remainder 977, and apply the division lemma to get
4136 = 977 x 4 + 228
We consider the new divisor 977 and the new remainder 228,and apply the division lemma to get
977 = 228 x 4 + 65
We consider the new divisor 228 and the new remainder 65,and apply the division lemma to get
228 = 65 x 3 + 33
We consider the new divisor 65 and the new remainder 33,and apply the division lemma to get
65 = 33 x 1 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5113 and 9249 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(65,33) = HCF(228,65) = HCF(977,228) = HCF(4136,977) = HCF(5113,4136) = HCF(9249,5113) .
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Frequently Asked Questions on HCF of 5113, 9249 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 5113, 9249?
Answer: HCF of 5113, 9249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5113, 9249 using Euclid's Algorithm?
Answer: For arbitrary numbers 5113, 9249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.