Highest Common Factor of 4094, 6191 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 4094, 6191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4094, 6191 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 4094, 6191 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 4094, 6191 is 1.
HCF(4094, 6191) = 1
HCF of 4094, 6191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4094, 6191 is 1.
Highest Common Factor of 4094,6191 is 1
Step 1: Since 6191 > 4094, we apply the division lemma to 6191 and 4094, to get
6191 = 4094 x 1 + 2097
Step 2: Since the reminder 4094 ≠ 0, we apply division lemma to 2097 and 4094, to get
4094 = 2097 x 1 + 1997
Step 3: We consider the new divisor 2097 and the new remainder 1997, and apply the division lemma to get
2097 = 1997 x 1 + 100
We consider the new divisor 1997 and the new remainder 100,and apply the division lemma to get
1997 = 100 x 19 + 97
We consider the new divisor 100 and the new remainder 97,and apply the division lemma to get
100 = 97 x 1 + 3
We consider the new divisor 97 and the new remainder 3,and apply the division lemma to get
97 = 3 x 32 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4094 and 6191 is 1
Notice that 1 = HCF(3,1) = HCF(97,3) = HCF(100,97) = HCF(1997,100) = HCF(2097,1997) = HCF(4094,2097) = HCF(6191,4094) .
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Frequently Asked Questions on HCF of 4094, 6191 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 4094, 6191?
Answer: HCF of 4094, 6191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4094, 6191 using Euclid's Algorithm?
Answer: For arbitrary numbers 4094, 6191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
