Highest Common Factor of 3432, 3774 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 3432, 3774 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 3432, 3774 is 6 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 3432, 3774 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 3432, 3774 is 6.
HCF(3432, 3774) = 6
HCF of 3432, 3774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3432, 3774 is 6.
Highest Common Factor of 3432,3774 is 6
Step 1: Since 3774 > 3432, we apply the division lemma to 3774 and 3432, to get
3774 = 3432 x 1 + 342
Step 2: Since the reminder 3432 ≠ 0, we apply division lemma to 342 and 3432, to get
3432 = 342 x 10 + 12
Step 3: We consider the new divisor 342 and the new remainder 12, and apply the division lemma to get
342 = 12 x 28 + 6
We consider the new divisor 12 and the new remainder 6, and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3432 and 3774 is 6
Notice that 6 = HCF(12,6) = HCF(342,12) = HCF(3432,342) = HCF(3774,3432) .
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Frequently Asked Questions on HCF of 3432, 3774 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 3432, 3774?
Answer: HCF of 3432, 3774 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3432, 3774 using Euclid's Algorithm?
Answer: For arbitrary numbers 3432, 3774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.