Highest Common Factor of 7186, 6146 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 7186, 6146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7186, 6146 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 7186, 6146 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 7186, 6146 is 2.
HCF(7186, 6146) = 2
HCF of 7186, 6146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7186, 6146 is 2.
Highest Common Factor of 7186,6146 is 2
Step 1: Since 7186 > 6146, we apply the division lemma to 7186 and 6146, to get
7186 = 6146 x 1 + 1040
Step 2: Since the reminder 6146 ≠ 0, we apply division lemma to 1040 and 6146, to get
6146 = 1040 x 5 + 946
Step 3: We consider the new divisor 1040 and the new remainder 946, and apply the division lemma to get
1040 = 946 x 1 + 94
We consider the new divisor 946 and the new remainder 94,and apply the division lemma to get
946 = 94 x 10 + 6
We consider the new divisor 94 and the new remainder 6,and apply the division lemma to get
94 = 6 x 15 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 7186 and 6146 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(94,6) = HCF(946,94) = HCF(1040,946) = HCF(6146,1040) = HCF(7186,6146) .
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Frequently Asked Questions on HCF of 7186, 6146 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 7186, 6146?
Answer: HCF of 7186, 6146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7186, 6146 using Euclid's Algorithm?
Answer: For arbitrary numbers 7186, 6146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
