Highest Common Factor of 4056, 7906 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, 7906 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4056, 7906 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 4056, 7906 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, 7906 is 2.
HCF(4056, 7906) = 2
HCF of 4056, 7906 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, 7906 is 2.
Highest Common Factor of 4056,7906 is 2
Step 1: Since 7906 > 4056, we apply the division lemma to 7906 and 4056, to get
7906 = 4056 x 1 + 3850
Step 2: Since the reminder 4056 ≠ 0, we apply division lemma to 3850 and 4056, to get
4056 = 3850 x 1 + 206
Step 3: We consider the new divisor 3850 and the new remainder 206, and apply the division lemma to get
3850 = 206 x 18 + 142
We consider the new divisor 206 and the new remainder 142,and apply the division lemma to get
206 = 142 x 1 + 64
We consider the new divisor 142 and the new remainder 64,and apply the division lemma to get
142 = 64 x 2 + 14
We consider the new divisor 64 and the new remainder 14,and apply the division lemma to get
64 = 14 x 4 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4056 and 7906 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(64,14) = HCF(142,64) = HCF(206,142) = HCF(3850,206) = HCF(4056,3850) = HCF(7906,4056) .
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Frequently Asked Questions on HCF of 4056, 7906 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, 7906?
Answer: HCF of 4056, 7906 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4056, 7906 using Euclid's Algorithm?
Answer: For arbitrary numbers 4056, 7906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.