Highest Common Factor of 7885, 2195 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 7885, 2195 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7885, 2195 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 7885, 2195 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 7885, 2195 is 5.
HCF(7885, 2195) = 5
HCF of 7885, 2195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7885, 2195 is 5.
Highest Common Factor of 7885,2195 is 5
Step 1: Since 7885 > 2195, we apply the division lemma to 7885 and 2195, to get
7885 = 2195 x 3 + 1300
Step 2: Since the reminder 2195 ≠ 0, we apply division lemma to 1300 and 2195, to get
2195 = 1300 x 1 + 895
Step 3: We consider the new divisor 1300 and the new remainder 895, and apply the division lemma to get
1300 = 895 x 1 + 405
We consider the new divisor 895 and the new remainder 405,and apply the division lemma to get
895 = 405 x 2 + 85
We consider the new divisor 405 and the new remainder 85,and apply the division lemma to get
405 = 85 x 4 + 65
We consider the new divisor 85 and the new remainder 65,and apply the division lemma to get
85 = 65 x 1 + 20
We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get
65 = 20 x 3 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7885 and 2195 is 5
Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(85,65) = HCF(405,85) = HCF(895,405) = HCF(1300,895) = HCF(2195,1300) = HCF(7885,2195) .
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Frequently Asked Questions on HCF of 7885, 2195 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 7885, 2195?
Answer: HCF of 7885, 2195 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7885, 2195 using Euclid's Algorithm?
Answer: For arbitrary numbers 7885, 2195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
