Highest Common Factor of 5185, 7480, 81178 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 5185, 7480, 81178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5185, 7480, 81178 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 5185, 7480, 81178 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 5185, 7480, 81178 is 1.
HCF(5185, 7480, 81178) = 1
HCF of 5185, 7480, 81178 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5185, 7480, 81178 is 1.
Highest Common Factor of 5185,7480,81178 is 1
Step 1: Since 7480 > 5185, we apply the division lemma to 7480 and 5185, to get
7480 = 5185 x 1 + 2295
Step 2: Since the reminder 5185 ≠ 0, we apply division lemma to 2295 and 5185, to get
5185 = 2295 x 2 + 595
Step 3: We consider the new divisor 2295 and the new remainder 595, and apply the division lemma to get
2295 = 595 x 3 + 510
We consider the new divisor 595 and the new remainder 510,and apply the division lemma to get
595 = 510 x 1 + 85
We consider the new divisor 510 and the new remainder 85,and apply the division lemma to get
510 = 85 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 5185 and 7480 is 85
Notice that 85 = HCF(510,85) = HCF(595,510) = HCF(2295,595) = HCF(5185,2295) = HCF(7480,5185) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81178 > 85, we apply the division lemma to 81178 and 85, to get
81178 = 85 x 955 + 3
Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 3 and 85, to get
85 = 3 x 28 + 1
Step 3: 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 85 and 81178 is 1
Notice that 1 = HCF(3,1) = HCF(85,3) = HCF(81178,85) .
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Frequently Asked Questions on HCF of 5185, 7480, 81178 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 5185, 7480, 81178?
Answer: HCF of 5185, 7480, 81178 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5185, 7480, 81178 using Euclid's Algorithm?
Answer: For arbitrary numbers 5185, 7480, 81178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.