Highest Common Factor of 5176, 2204 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 5176, 2204 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5176, 2204 is 4 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 5176, 2204 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 5176, 2204 is 4.
HCF(5176, 2204) = 4
HCF of 5176, 2204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5176, 2204 is 4.
Highest Common Factor of 5176,2204 is 4
Step 1: Since 5176 > 2204, we apply the division lemma to 5176 and 2204, to get
5176 = 2204 x 2 + 768
Step 2: Since the reminder 2204 ≠ 0, we apply division lemma to 768 and 2204, to get
2204 = 768 x 2 + 668
Step 3: We consider the new divisor 768 and the new remainder 668, and apply the division lemma to get
768 = 668 x 1 + 100
We consider the new divisor 668 and the new remainder 100,and apply the division lemma to get
668 = 100 x 6 + 68
We consider the new divisor 100 and the new remainder 68,and apply the division lemma to get
100 = 68 x 1 + 32
We consider the new divisor 68 and the new remainder 32,and apply the division lemma to get
68 = 32 x 2 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5176 and 2204 is 4
Notice that 4 = HCF(32,4) = HCF(68,32) = HCF(100,68) = HCF(668,100) = HCF(768,668) = HCF(2204,768) = HCF(5176,2204) .
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Frequently Asked Questions on HCF of 5176, 2204 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 5176, 2204?
Answer: HCF of 5176, 2204 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5176, 2204 using Euclid's Algorithm?
Answer: For arbitrary numbers 5176, 2204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.