Highest Common Factor of 899, 4332, 5200 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 899, 4332, 5200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 4332, 5200 is 1 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 899, 4332, 5200 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 899, 4332, 5200 is 1.
HCF(899, 4332, 5200) = 1
HCF of 899, 4332, 5200 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 4332, 5200 is 1.
Highest Common Factor of 899,4332,5200 is 1
Step 1: Since 4332 > 899, we apply the division lemma to 4332 and 899, to get
4332 = 899 x 4 + 736
Step 2: Since the reminder 899 ≠ 0, we apply division lemma to 736 and 899, to get
899 = 736 x 1 + 163
Step 3: We consider the new divisor 736 and the new remainder 163, and apply the division lemma to get
736 = 163 x 4 + 84
We consider the new divisor 163 and the new remainder 84,and apply the division lemma to get
163 = 84 x 1 + 79
We consider the new divisor 84 and the new remainder 79,and apply the division lemma to get
84 = 79 x 1 + 5
We consider the new divisor 79 and the new remainder 5,and apply the division lemma to get
79 = 5 x 15 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 4332 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(79,5) = HCF(84,79) = HCF(163,84) = HCF(736,163) = HCF(899,736) = HCF(4332,899) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5200 > 1, we apply the division lemma to 5200 and 1, to get
5200 = 1 x 5200 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5200 is 1
Notice that 1 = HCF(5200,1) .
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Frequently Asked Questions on HCF of 899, 4332, 5200 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 899, 4332, 5200?
Answer: HCF of 899, 4332, 5200 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 4332, 5200 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 4332, 5200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
