Highest Common Factor of 4364, 3042, 57970 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 4364, 3042, 57970 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4364, 3042, 57970 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 4364, 3042, 57970 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 4364, 3042, 57970 is 2.
HCF(4364, 3042, 57970) = 2
HCF of 4364, 3042, 57970 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4364, 3042, 57970 is 2.
Highest Common Factor of 4364,3042,57970 is 2
Step 1: Since 4364 > 3042, we apply the division lemma to 4364 and 3042, to get
4364 = 3042 x 1 + 1322
Step 2: Since the reminder 3042 ≠ 0, we apply division lemma to 1322 and 3042, to get
3042 = 1322 x 2 + 398
Step 3: We consider the new divisor 1322 and the new remainder 398, and apply the division lemma to get
1322 = 398 x 3 + 128
We consider the new divisor 398 and the new remainder 128,and apply the division lemma to get
398 = 128 x 3 + 14
We consider the new divisor 128 and the new remainder 14,and apply the division lemma to get
128 = 14 x 9 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4364 and 3042 is 2
Notice that 2 = HCF(14,2) = HCF(128,14) = HCF(398,128) = HCF(1322,398) = HCF(3042,1322) = HCF(4364,3042) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57970 > 2, we apply the division lemma to 57970 and 2, to get
57970 = 2 x 28985 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 57970 is 2
Notice that 2 = HCF(57970,2) .
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Frequently Asked Questions on HCF of 4364, 3042, 57970 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 4364, 3042, 57970?
Answer: HCF of 4364, 3042, 57970 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4364, 3042, 57970 using Euclid's Algorithm?
Answer: For arbitrary numbers 4364, 3042, 57970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.