Highest Common Factor of 5204, 8914 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 5204, 8914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5204, 8914 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 5204, 8914 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 5204, 8914 is 2.
HCF(5204, 8914) = 2
HCF of 5204, 8914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5204, 8914 is 2.
Highest Common Factor of 5204,8914 is 2
Step 1: Since 8914 > 5204, we apply the division lemma to 8914 and 5204, to get
8914 = 5204 x 1 + 3710
Step 2: Since the reminder 5204 ≠ 0, we apply division lemma to 3710 and 5204, to get
5204 = 3710 x 1 + 1494
Step 3: We consider the new divisor 3710 and the new remainder 1494, and apply the division lemma to get
3710 = 1494 x 2 + 722
We consider the new divisor 1494 and the new remainder 722,and apply the division lemma to get
1494 = 722 x 2 + 50
We consider the new divisor 722 and the new remainder 50,and apply the division lemma to get
722 = 50 x 14 + 22
We consider the new divisor 50 and the new remainder 22,and apply the division lemma to get
50 = 22 x 2 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 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 5204 and 8914 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(50,22) = HCF(722,50) = HCF(1494,722) = HCF(3710,1494) = HCF(5204,3710) = HCF(8914,5204) .
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Frequently Asked Questions on HCF of 5204, 8914 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 5204, 8914?
Answer: HCF of 5204, 8914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5204, 8914 using Euclid's Algorithm?
Answer: For arbitrary numbers 5204, 8914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.