Highest Common Factor of 4190, 2875 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 4190, 2875 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4190, 2875 is 5 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 4190, 2875 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 4190, 2875 is 5.
HCF(4190, 2875) = 5
HCF of 4190, 2875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4190, 2875 is 5.
Highest Common Factor of 4190,2875 is 5
Step 1: Since 4190 > 2875, we apply the division lemma to 4190 and 2875, to get
4190 = 2875 x 1 + 1315
Step 2: Since the reminder 2875 ≠ 0, we apply division lemma to 1315 and 2875, to get
2875 = 1315 x 2 + 245
Step 3: We consider the new divisor 1315 and the new remainder 245, and apply the division lemma to get
1315 = 245 x 5 + 90
We consider the new divisor 245 and the new remainder 90,and apply the division lemma to get
245 = 90 x 2 + 65
We consider the new divisor 90 and the new remainder 65,and apply the division lemma to get
90 = 65 x 1 + 25
We consider the new divisor 65 and the new remainder 25,and apply the division lemma to get
65 = 25 x 2 + 15
We consider the new divisor 25 and the new remainder 15,and apply the division lemma to get
25 = 15 x 1 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 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 4190 and 2875 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(65,25) = HCF(90,65) = HCF(245,90) = HCF(1315,245) = HCF(2875,1315) = HCF(4190,2875) .
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Frequently Asked Questions on HCF of 4190, 2875 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 4190, 2875?
Answer: HCF of 4190, 2875 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4190, 2875 using Euclid's Algorithm?
Answer: For arbitrary numbers 4190, 2875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.