Highest Common Factor of 5173, 4932 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 5173, 4932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5173, 4932 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 5173, 4932 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 5173, 4932 is 1.
HCF(5173, 4932) = 1
HCF of 5173, 4932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5173, 4932 is 1.
Highest Common Factor of 5173,4932 is 1
Step 1: Since 5173 > 4932, we apply the division lemma to 5173 and 4932, to get
5173 = 4932 x 1 + 241
Step 2: Since the reminder 4932 ≠ 0, we apply division lemma to 241 and 4932, to get
4932 = 241 x 20 + 112
Step 3: We consider the new divisor 241 and the new remainder 112, and apply the division lemma to get
241 = 112 x 2 + 17
We consider the new divisor 112 and the new remainder 17,and apply the division lemma to get
112 = 17 x 6 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5173 and 4932 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(112,17) = HCF(241,112) = HCF(4932,241) = HCF(5173,4932) .
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Frequently Asked Questions on HCF of 5173, 4932 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 5173, 4932?
Answer: HCF of 5173, 4932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5173, 4932 using Euclid's Algorithm?
Answer: For arbitrary numbers 5173, 4932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.