Highest Common Factor of 5169, 9114 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 5169, 9114 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5169, 9114 is 3 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 5169, 9114 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 5169, 9114 is 3.
HCF(5169, 9114) = 3
HCF of 5169, 9114 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5169, 9114 is 3.
Highest Common Factor of 5169,9114 is 3
Step 1: Since 9114 > 5169, we apply the division lemma to 9114 and 5169, to get
9114 = 5169 x 1 + 3945
Step 2: Since the reminder 5169 ≠ 0, we apply division lemma to 3945 and 5169, to get
5169 = 3945 x 1 + 1224
Step 3: We consider the new divisor 3945 and the new remainder 1224, and apply the division lemma to get
3945 = 1224 x 3 + 273
We consider the new divisor 1224 and the new remainder 273,and apply the division lemma to get
1224 = 273 x 4 + 132
We consider the new divisor 273 and the new remainder 132,and apply the division lemma to get
273 = 132 x 2 + 9
We consider the new divisor 132 and the new remainder 9,and apply the division lemma to get
132 = 9 x 14 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5169 and 9114 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(132,9) = HCF(273,132) = HCF(1224,273) = HCF(3945,1224) = HCF(5169,3945) = HCF(9114,5169) .
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Frequently Asked Questions on HCF of 5169, 9114 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 5169, 9114?
Answer: HCF of 5169, 9114 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5169, 9114 using Euclid's Algorithm?
Answer: For arbitrary numbers 5169, 9114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.