Highest Common Factor of 4187, 7180 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 4187, 7180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4187, 7180 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 4187, 7180 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 4187, 7180 is 1.
HCF(4187, 7180) = 1
HCF of 4187, 7180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4187, 7180 is 1.
Highest Common Factor of 4187,7180 is 1
Step 1: Since 7180 > 4187, we apply the division lemma to 7180 and 4187, to get
7180 = 4187 x 1 + 2993
Step 2: Since the reminder 4187 ≠ 0, we apply division lemma to 2993 and 4187, to get
4187 = 2993 x 1 + 1194
Step 3: We consider the new divisor 2993 and the new remainder 1194, and apply the division lemma to get
2993 = 1194 x 2 + 605
We consider the new divisor 1194 and the new remainder 605,and apply the division lemma to get
1194 = 605 x 1 + 589
We consider the new divisor 605 and the new remainder 589,and apply the division lemma to get
605 = 589 x 1 + 16
We consider the new divisor 589 and the new remainder 16,and apply the division lemma to get
589 = 16 x 36 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 4187 and 7180 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(589,16) = HCF(605,589) = HCF(1194,605) = HCF(2993,1194) = HCF(4187,2993) = HCF(7180,4187) .
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Frequently Asked Questions on HCF of 4187, 7180 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 4187, 7180?
Answer: HCF of 4187, 7180 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4187, 7180 using Euclid's Algorithm?
Answer: For arbitrary numbers 4187, 7180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.