Highest Common Factor of 8045, 2094 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 8045, 2094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8045, 2094 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 8045, 2094 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 8045, 2094 is 1.
HCF(8045, 2094) = 1
HCF of 8045, 2094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8045, 2094 is 1.
Highest Common Factor of 8045,2094 is 1
Step 1: Since 8045 > 2094, we apply the division lemma to 8045 and 2094, to get
8045 = 2094 x 3 + 1763
Step 2: Since the reminder 2094 ≠ 0, we apply division lemma to 1763 and 2094, to get
2094 = 1763 x 1 + 331
Step 3: We consider the new divisor 1763 and the new remainder 331, and apply the division lemma to get
1763 = 331 x 5 + 108
We consider the new divisor 331 and the new remainder 108,and apply the division lemma to get
331 = 108 x 3 + 7
We consider the new divisor 108 and the new remainder 7,and apply the division lemma to get
108 = 7 x 15 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 8045 and 2094 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(108,7) = HCF(331,108) = HCF(1763,331) = HCF(2094,1763) = HCF(8045,2094) .
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Frequently Asked Questions on HCF of 8045, 2094 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 8045, 2094?
Answer: HCF of 8045, 2094 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8045, 2094 using Euclid's Algorithm?
Answer: For arbitrary numbers 8045, 2094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.