Highest Common Factor of 5576, 4334 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 5576, 4334 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5576, 4334 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 5576, 4334 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 5576, 4334 is 2.
HCF(5576, 4334) = 2
HCF of 5576, 4334 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5576, 4334 is 2.
Highest Common Factor of 5576,4334 is 2
Step 1: Since 5576 > 4334, we apply the division lemma to 5576 and 4334, to get
5576 = 4334 x 1 + 1242
Step 2: Since the reminder 4334 ≠ 0, we apply division lemma to 1242 and 4334, to get
4334 = 1242 x 3 + 608
Step 3: We consider the new divisor 1242 and the new remainder 608, and apply the division lemma to get
1242 = 608 x 2 + 26
We consider the new divisor 608 and the new remainder 26,and apply the division lemma to get
608 = 26 x 23 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5576 and 4334 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(608,26) = HCF(1242,608) = HCF(4334,1242) = HCF(5576,4334) .
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Frequently Asked Questions on HCF of 5576, 4334 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 5576, 4334?
Answer: HCF of 5576, 4334 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5576, 4334 using Euclid's Algorithm?
Answer: For arbitrary numbers 5576, 4334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.