Highest Common Factor of 3039, 4348 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 3039, 4348 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3039, 4348 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 3039, 4348 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 3039, 4348 is 1.
HCF(3039, 4348) = 1
HCF of 3039, 4348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3039, 4348 is 1.
Highest Common Factor of 3039,4348 is 1
Step 1: Since 4348 > 3039, we apply the division lemma to 4348 and 3039, to get
4348 = 3039 x 1 + 1309
Step 2: Since the reminder 3039 ≠ 0, we apply division lemma to 1309 and 3039, to get
3039 = 1309 x 2 + 421
Step 3: We consider the new divisor 1309 and the new remainder 421, and apply the division lemma to get
1309 = 421 x 3 + 46
We consider the new divisor 421 and the new remainder 46,and apply the division lemma to get
421 = 46 x 9 + 7
We consider the new divisor 46 and the new remainder 7,and apply the division lemma to get
46 = 7 x 6 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 3039 and 4348 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(46,7) = HCF(421,46) = HCF(1309,421) = HCF(3039,1309) = HCF(4348,3039) .
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Frequently Asked Questions on HCF of 3039, 4348 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 3039, 4348?
Answer: HCF of 3039, 4348 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3039, 4348 using Euclid's Algorithm?
Answer: For arbitrary numbers 3039, 4348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.