Highest Common Factor of 6515, 3700, 50901 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 6515, 3700, 50901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6515, 3700, 50901 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 6515, 3700, 50901 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 6515, 3700, 50901 is 1.
HCF(6515, 3700, 50901) = 1
HCF of 6515, 3700, 50901 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6515, 3700, 50901 is 1.
Highest Common Factor of 6515,3700,50901 is 1
Step 1: Since 6515 > 3700, we apply the division lemma to 6515 and 3700, to get
6515 = 3700 x 1 + 2815
Step 2: Since the reminder 3700 ≠ 0, we apply division lemma to 2815 and 3700, to get
3700 = 2815 x 1 + 885
Step 3: We consider the new divisor 2815 and the new remainder 885, and apply the division lemma to get
2815 = 885 x 3 + 160
We consider the new divisor 885 and the new remainder 160,and apply the division lemma to get
885 = 160 x 5 + 85
We consider the new divisor 160 and the new remainder 85,and apply the division lemma to get
160 = 85 x 1 + 75
We consider the new divisor 85 and the new remainder 75,and apply the division lemma to get
85 = 75 x 1 + 10
We consider the new divisor 75 and the new remainder 10,and apply the division lemma to get
75 = 10 x 7 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6515 and 3700 is 5
Notice that 5 = HCF(10,5) = HCF(75,10) = HCF(85,75) = HCF(160,85) = HCF(885,160) = HCF(2815,885) = HCF(3700,2815) = HCF(6515,3700) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50901 > 5, we apply the division lemma to 50901 and 5, to get
50901 = 5 x 10180 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 50901 is 1
Notice that 1 = HCF(5,1) = HCF(50901,5) .
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Frequently Asked Questions on HCF of 6515, 3700, 50901 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 6515, 3700, 50901?
Answer: HCF of 6515, 3700, 50901 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6515, 3700, 50901 using Euclid's Algorithm?
Answer: For arbitrary numbers 6515, 3700, 50901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.