Highest Common Factor of 4796, 1598, 66188 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 4796, 1598, 66188 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4796, 1598, 66188 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 4796, 1598, 66188 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 4796, 1598, 66188 is 2.
HCF(4796, 1598, 66188) = 2
HCF of 4796, 1598, 66188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4796, 1598, 66188 is 2.
Highest Common Factor of 4796,1598,66188 is 2
Step 1: Since 4796 > 1598, we apply the division lemma to 4796 and 1598, to get
4796 = 1598 x 3 + 2
Step 2: Since the reminder 1598 ≠ 0, we apply division lemma to 2 and 1598, to get
1598 = 2 x 799 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4796 and 1598 is 2
Notice that 2 = HCF(1598,2) = HCF(4796,1598) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66188 > 2, we apply the division lemma to 66188 and 2, to get
66188 = 2 x 33094 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 66188 is 2
Notice that 2 = HCF(66188,2) .
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Frequently Asked Questions on HCF of 4796, 1598, 66188 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 4796, 1598, 66188?
Answer: HCF of 4796, 1598, 66188 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4796, 1598, 66188 using Euclid's Algorithm?
Answer: For arbitrary numbers 4796, 1598, 66188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.