Highest Common Factor of 5481, 2380, 92019 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 5481, 2380, 92019 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5481, 2380, 92019 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 5481, 2380, 92019 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 5481, 2380, 92019 is 1.
HCF(5481, 2380, 92019) = 1
HCF of 5481, 2380, 92019 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5481, 2380, 92019 is 1.
Highest Common Factor of 5481,2380,92019 is 1
Step 1: Since 5481 > 2380, we apply the division lemma to 5481 and 2380, to get
5481 = 2380 x 2 + 721
Step 2: Since the reminder 2380 ≠ 0, we apply division lemma to 721 and 2380, to get
2380 = 721 x 3 + 217
Step 3: We consider the new divisor 721 and the new remainder 217, and apply the division lemma to get
721 = 217 x 3 + 70
We consider the new divisor 217 and the new remainder 70,and apply the division lemma to get
217 = 70 x 3 + 7
We consider the new divisor 70 and the new remainder 7,and apply the division lemma to get
70 = 7 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5481 and 2380 is 7
Notice that 7 = HCF(70,7) = HCF(217,70) = HCF(721,217) = HCF(2380,721) = HCF(5481,2380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92019 > 7, we apply the division lemma to 92019 and 7, to get
92019 = 7 x 13145 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 92019 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(92019,7) .
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Frequently Asked Questions on HCF of 5481, 2380, 92019 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 5481, 2380, 92019?
Answer: HCF of 5481, 2380, 92019 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5481, 2380, 92019 using Euclid's Algorithm?
Answer: For arbitrary numbers 5481, 2380, 92019 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.