Highest Common Factor of 4215, 4094 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 4215, 4094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4215, 4094 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 4215, 4094 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 4215, 4094 is 1.
HCF(4215, 4094) = 1
HCF of 4215, 4094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4215, 4094 is 1.
Highest Common Factor of 4215,4094 is 1
Step 1: Since 4215 > 4094, we apply the division lemma to 4215 and 4094, to get
4215 = 4094 x 1 + 121
Step 2: Since the reminder 4094 ≠ 0, we apply division lemma to 121 and 4094, to get
4094 = 121 x 33 + 101
Step 3: We consider the new divisor 121 and the new remainder 101, and apply the division lemma to get
121 = 101 x 1 + 20
We consider the new divisor 101 and the new remainder 20,and apply the division lemma to get
101 = 20 x 5 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4215 and 4094 is 1
Notice that 1 = HCF(20,1) = HCF(101,20) = HCF(121,101) = HCF(4094,121) = HCF(4215,4094) .
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Frequently Asked Questions on HCF of 4215, 4094 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 4215, 4094?
Answer: HCF of 4215, 4094 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4215, 4094 using Euclid's Algorithm?
Answer: For arbitrary numbers 4215, 4094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.