Highest Common Factor of 2899, 5782, 78446 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 2899, 5782, 78446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2899, 5782, 78446 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 2899, 5782, 78446 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 2899, 5782, 78446 is 1.
HCF(2899, 5782, 78446) = 1
HCF of 2899, 5782, 78446 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2899, 5782, 78446 is 1.
Highest Common Factor of 2899,5782,78446 is 1
Step 1: Since 5782 > 2899, we apply the division lemma to 5782 and 2899, to get
5782 = 2899 x 1 + 2883
Step 2: Since the reminder 2899 ≠ 0, we apply division lemma to 2883 and 2899, to get
2899 = 2883 x 1 + 16
Step 3: We consider the new divisor 2883 and the new remainder 16, and apply the division lemma to get
2883 = 16 x 180 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 2899 and 5782 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(2883,16) = HCF(2899,2883) = HCF(5782,2899) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78446 > 1, we apply the division lemma to 78446 and 1, to get
78446 = 1 x 78446 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78446 is 1
Notice that 1 = HCF(78446,1) .
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Frequently Asked Questions on HCF of 2899, 5782, 78446 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 2899, 5782, 78446?
Answer: HCF of 2899, 5782, 78446 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2899, 5782, 78446 using Euclid's Algorithm?
Answer: For arbitrary numbers 2899, 5782, 78446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.