Highest Common Factor of 4094, 1342 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, 1342 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4094, 1342 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 4094, 1342 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, 1342 is 2.
HCF(4094, 1342) = 2
HCF of 4094, 1342 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, 1342 is 2.
Highest Common Factor of 4094,1342 is 2
Step 1: Since 4094 > 1342, we apply the division lemma to 4094 and 1342, to get
4094 = 1342 x 3 + 68
Step 2: Since the reminder 1342 ≠ 0, we apply division lemma to 68 and 1342, to get
1342 = 68 x 19 + 50
Step 3: We consider the new divisor 68 and the new remainder 50, and apply the division lemma to get
68 = 50 x 1 + 18
We consider the new divisor 50 and the new remainder 18,and apply the division lemma to get
50 = 18 x 2 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4094 and 1342 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(50,18) = HCF(68,50) = HCF(1342,68) = HCF(4094,1342) .
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Frequently Asked Questions on HCF of 4094, 1342 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, 1342?
Answer: HCF of 4094, 1342 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4094, 1342 using Euclid's Algorithm?
Answer: For arbitrary numbers 4094, 1342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.