Highest Common Factor of 5024, 4186 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 5024, 4186 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5024, 4186 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 5024, 4186 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 5024, 4186 is 2.
HCF(5024, 4186) = 2
HCF of 5024, 4186 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5024, 4186 is 2.
Highest Common Factor of 5024,4186 is 2
Step 1: Since 5024 > 4186, we apply the division lemma to 5024 and 4186, to get
5024 = 4186 x 1 + 838
Step 2: Since the reminder 4186 ≠ 0, we apply division lemma to 838 and 4186, to get
4186 = 838 x 4 + 834
Step 3: We consider the new divisor 838 and the new remainder 834, and apply the division lemma to get
838 = 834 x 1 + 4
We consider the new divisor 834 and the new remainder 4,and apply the division lemma to get
834 = 4 x 208 + 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 5024 and 4186 is 2
Notice that 2 = HCF(4,2) = HCF(834,4) = HCF(838,834) = HCF(4186,838) = HCF(5024,4186) .
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Frequently Asked Questions on HCF of 5024, 4186 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 5024, 4186?
Answer: HCF of 5024, 4186 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5024, 4186 using Euclid's Algorithm?
Answer: For arbitrary numbers 5024, 4186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.