Highest Common Factor of 3734, 2325 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 3734, 2325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3734, 2325 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 3734, 2325 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 3734, 2325 is 1.
HCF(3734, 2325) = 1
HCF of 3734, 2325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3734, 2325 is 1.
Highest Common Factor of 3734,2325 is 1
Step 1: Since 3734 > 2325, we apply the division lemma to 3734 and 2325, to get
3734 = 2325 x 1 + 1409
Step 2: Since the reminder 2325 ≠ 0, we apply division lemma to 1409 and 2325, to get
2325 = 1409 x 1 + 916
Step 3: We consider the new divisor 1409 and the new remainder 916, and apply the division lemma to get
1409 = 916 x 1 + 493
We consider the new divisor 916 and the new remainder 493,and apply the division lemma to get
916 = 493 x 1 + 423
We consider the new divisor 493 and the new remainder 423,and apply the division lemma to get
493 = 423 x 1 + 70
We consider the new divisor 423 and the new remainder 70,and apply the division lemma to get
423 = 70 x 6 + 3
We consider the new divisor 70 and the new remainder 3,and apply the division lemma to get
70 = 3 x 23 + 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 3734 and 2325 is 1
Notice that 1 = HCF(3,1) = HCF(70,3) = HCF(423,70) = HCF(493,423) = HCF(916,493) = HCF(1409,916) = HCF(2325,1409) = HCF(3734,2325) .
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Frequently Asked Questions on HCF of 3734, 2325 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 3734, 2325?
Answer: HCF of 3734, 2325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3734, 2325 using Euclid's Algorithm?
Answer: For arbitrary numbers 3734, 2325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.