Highest Common Factor of 7094, 6063 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 7094, 6063 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7094, 6063 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 7094, 6063 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 7094, 6063 is 1.
HCF(7094, 6063) = 1
HCF of 7094, 6063 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7094, 6063 is 1.
Highest Common Factor of 7094,6063 is 1
Step 1: Since 7094 > 6063, we apply the division lemma to 7094 and 6063, to get
7094 = 6063 x 1 + 1031
Step 2: Since the reminder 6063 ≠ 0, we apply division lemma to 1031 and 6063, to get
6063 = 1031 x 5 + 908
Step 3: We consider the new divisor 1031 and the new remainder 908, and apply the division lemma to get
1031 = 908 x 1 + 123
We consider the new divisor 908 and the new remainder 123,and apply the division lemma to get
908 = 123 x 7 + 47
We consider the new divisor 123 and the new remainder 47,and apply the division lemma to get
123 = 47 x 2 + 29
We consider the new divisor 47 and the new remainder 29,and apply the division lemma to get
47 = 29 x 1 + 18
We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get
29 = 18 x 1 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 7094 and 6063 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(47,29) = HCF(123,47) = HCF(908,123) = HCF(1031,908) = HCF(6063,1031) = HCF(7094,6063) .
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Frequently Asked Questions on HCF of 7094, 6063 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 7094, 6063?
Answer: HCF of 7094, 6063 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7094, 6063 using Euclid's Algorithm?
Answer: For arbitrary numbers 7094, 6063 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.