Highest Common Factor of 5756, 7170, 48006 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 5756, 7170, 48006 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5756, 7170, 48006 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 5756, 7170, 48006 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 5756, 7170, 48006 is 2.
HCF(5756, 7170, 48006) = 2
HCF of 5756, 7170, 48006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5756, 7170, 48006 is 2.
Highest Common Factor of 5756,7170,48006 is 2
Step 1: Since 7170 > 5756, we apply the division lemma to 7170 and 5756, to get
7170 = 5756 x 1 + 1414
Step 2: Since the reminder 5756 ≠ 0, we apply division lemma to 1414 and 5756, to get
5756 = 1414 x 4 + 100
Step 3: We consider the new divisor 1414 and the new remainder 100, and apply the division lemma to get
1414 = 100 x 14 + 14
We consider the new divisor 100 and the new remainder 14,and apply the division lemma to get
100 = 14 x 7 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5756 and 7170 is 2
Notice that 2 = HCF(14,2) = HCF(100,14) = HCF(1414,100) = HCF(5756,1414) = HCF(7170,5756) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48006 > 2, we apply the division lemma to 48006 and 2, to get
48006 = 2 x 24003 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 48006 is 2
Notice that 2 = HCF(48006,2) .
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Frequently Asked Questions on HCF of 5756, 7170, 48006 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 5756, 7170, 48006?
Answer: HCF of 5756, 7170, 48006 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5756, 7170, 48006 using Euclid's Algorithm?
Answer: For arbitrary numbers 5756, 7170, 48006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.