Highest Common Factor of 3045, 1352 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 3045, 1352 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3045, 1352 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 3045, 1352 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 3045, 1352 is 1.
HCF(3045, 1352) = 1
HCF of 3045, 1352 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3045, 1352 is 1.
Highest Common Factor of 3045,1352 is 1
Step 1: Since 3045 > 1352, we apply the division lemma to 3045 and 1352, to get
3045 = 1352 x 2 + 341
Step 2: Since the reminder 1352 ≠ 0, we apply division lemma to 341 and 1352, to get
1352 = 341 x 3 + 329
Step 3: We consider the new divisor 341 and the new remainder 329, and apply the division lemma to get
341 = 329 x 1 + 12
We consider the new divisor 329 and the new remainder 12,and apply the division lemma to get
329 = 12 x 27 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3045 and 1352 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(329,12) = HCF(341,329) = HCF(1352,341) = HCF(3045,1352) .
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Frequently Asked Questions on HCF of 3045, 1352 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 3045, 1352?
Answer: HCF of 3045, 1352 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3045, 1352 using Euclid's Algorithm?
Answer: For arbitrary numbers 3045, 1352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.