Highest Common Factor of 4056, 3760 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 4056, 3760 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4056, 3760 is 8 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 4056, 3760 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 4056, 3760 is 8.
HCF(4056, 3760) = 8
HCF of 4056, 3760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4056, 3760 is 8.
Highest Common Factor of 4056,3760 is 8
Step 1: Since 4056 > 3760, we apply the division lemma to 4056 and 3760, to get
4056 = 3760 x 1 + 296
Step 2: Since the reminder 3760 ≠ 0, we apply division lemma to 296 and 3760, to get
3760 = 296 x 12 + 208
Step 3: We consider the new divisor 296 and the new remainder 208, and apply the division lemma to get
296 = 208 x 1 + 88
We consider the new divisor 208 and the new remainder 88,and apply the division lemma to get
208 = 88 x 2 + 32
We consider the new divisor 88 and the new remainder 32,and apply the division lemma to get
88 = 32 x 2 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4056 and 3760 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(88,32) = HCF(208,88) = HCF(296,208) = HCF(3760,296) = HCF(4056,3760) .
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Frequently Asked Questions on HCF of 4056, 3760 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 4056, 3760?
Answer: HCF of 4056, 3760 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4056, 3760 using Euclid's Algorithm?
Answer: For arbitrary numbers 4056, 3760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.