Highest Common Factor of 4291, 3118 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 4291, 3118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4291, 3118 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 4291, 3118 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 4291, 3118 is 1.
HCF(4291, 3118) = 1
HCF of 4291, 3118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4291, 3118 is 1.
Highest Common Factor of 4291,3118 is 1
Step 1: Since 4291 > 3118, we apply the division lemma to 4291 and 3118, to get
4291 = 3118 x 1 + 1173
Step 2: Since the reminder 3118 ≠ 0, we apply division lemma to 1173 and 3118, to get
3118 = 1173 x 2 + 772
Step 3: We consider the new divisor 1173 and the new remainder 772, and apply the division lemma to get
1173 = 772 x 1 + 401
We consider the new divisor 772 and the new remainder 401,and apply the division lemma to get
772 = 401 x 1 + 371
We consider the new divisor 401 and the new remainder 371,and apply the division lemma to get
401 = 371 x 1 + 30
We consider the new divisor 371 and the new remainder 30,and apply the division lemma to get
371 = 30 x 12 + 11
We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get
30 = 11 x 2 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4291 and 3118 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(371,30) = HCF(401,371) = HCF(772,401) = HCF(1173,772) = HCF(3118,1173) = HCF(4291,3118) .
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Frequently Asked Questions on HCF of 4291, 3118 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 4291, 3118?
Answer: HCF of 4291, 3118 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4291, 3118 using Euclid's Algorithm?
Answer: For arbitrary numbers 4291, 3118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
