Highest Common Factor of 3954, 7592 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 3954, 7592 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3954, 7592 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 3954, 7592 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 3954, 7592 is 2.
HCF(3954, 7592) = 2
HCF of 3954, 7592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3954, 7592 is 2.
Highest Common Factor of 3954,7592 is 2
Step 1: Since 7592 > 3954, we apply the division lemma to 7592 and 3954, to get
7592 = 3954 x 1 + 3638
Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 3638 and 3954, to get
3954 = 3638 x 1 + 316
Step 3: We consider the new divisor 3638 and the new remainder 316, and apply the division lemma to get
3638 = 316 x 11 + 162
We consider the new divisor 316 and the new remainder 162,and apply the division lemma to get
316 = 162 x 1 + 154
We consider the new divisor 162 and the new remainder 154,and apply the division lemma to get
162 = 154 x 1 + 8
We consider the new divisor 154 and the new remainder 8,and apply the division lemma to get
154 = 8 x 19 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3954 and 7592 is 2
Notice that 2 = HCF(8,2) = HCF(154,8) = HCF(162,154) = HCF(316,162) = HCF(3638,316) = HCF(3954,3638) = HCF(7592,3954) .
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Frequently Asked Questions on HCF of 3954, 7592 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 3954, 7592?
Answer: HCF of 3954, 7592 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3954, 7592 using Euclid's Algorithm?
Answer: For arbitrary numbers 3954, 7592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.