Highest Common Factor of 4392, 5914 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 4392, 5914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4392, 5914 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 4392, 5914 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 4392, 5914 is 2.
HCF(4392, 5914) = 2
HCF of 4392, 5914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4392, 5914 is 2.
Highest Common Factor of 4392,5914 is 2
Step 1: Since 5914 > 4392, we apply the division lemma to 5914 and 4392, to get
5914 = 4392 x 1 + 1522
Step 2: Since the reminder 4392 ≠ 0, we apply division lemma to 1522 and 4392, to get
4392 = 1522 x 2 + 1348
Step 3: We consider the new divisor 1522 and the new remainder 1348, and apply the division lemma to get
1522 = 1348 x 1 + 174
We consider the new divisor 1348 and the new remainder 174,and apply the division lemma to get
1348 = 174 x 7 + 130
We consider the new divisor 174 and the new remainder 130,and apply the division lemma to get
174 = 130 x 1 + 44
We consider the new divisor 130 and the new remainder 44,and apply the division lemma to get
130 = 44 x 2 + 42
We consider the new divisor 44 and the new remainder 42,and apply the division lemma to get
44 = 42 x 1 + 2
We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4392 and 5914 is 2
Notice that 2 = HCF(42,2) = HCF(44,42) = HCF(130,44) = HCF(174,130) = HCF(1348,174) = HCF(1522,1348) = HCF(4392,1522) = HCF(5914,4392) .
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Frequently Asked Questions on HCF of 4392, 5914 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 4392, 5914?
Answer: HCF of 4392, 5914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4392, 5914 using Euclid's Algorithm?
Answer: For arbitrary numbers 4392, 5914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.