Highest Common Factor of 3501, 8190 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 3501, 8190 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3501, 8190 is 9 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 3501, 8190 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 3501, 8190 is 9.
HCF(3501, 8190) = 9
HCF of 3501, 8190 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3501, 8190 is 9.
Highest Common Factor of 3501,8190 is 9
Step 1: Since 8190 > 3501, we apply the division lemma to 8190 and 3501, to get
8190 = 3501 x 2 + 1188
Step 2: Since the reminder 3501 ≠ 0, we apply division lemma to 1188 and 3501, to get
3501 = 1188 x 2 + 1125
Step 3: We consider the new divisor 1188 and the new remainder 1125, and apply the division lemma to get
1188 = 1125 x 1 + 63
We consider the new divisor 1125 and the new remainder 63,and apply the division lemma to get
1125 = 63 x 17 + 54
We consider the new divisor 63 and the new remainder 54,and apply the division lemma to get
63 = 54 x 1 + 9
We consider the new divisor 54 and the new remainder 9,and apply the division lemma to get
54 = 9 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3501 and 8190 is 9
Notice that 9 = HCF(54,9) = HCF(63,54) = HCF(1125,63) = HCF(1188,1125) = HCF(3501,1188) = HCF(8190,3501) .
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Frequently Asked Questions on HCF of 3501, 8190 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 3501, 8190?
Answer: HCF of 3501, 8190 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3501, 8190 using Euclid's Algorithm?
Answer: For arbitrary numbers 3501, 8190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.