Highest Common Factor of 7263, 2493, 45095 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 7263, 2493, 45095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7263, 2493, 45095 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 7263, 2493, 45095 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 7263, 2493, 45095 is 1.
HCF(7263, 2493, 45095) = 1
HCF of 7263, 2493, 45095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7263, 2493, 45095 is 1.
Highest Common Factor of 7263,2493,45095 is 1
Step 1: Since 7263 > 2493, we apply the division lemma to 7263 and 2493, to get
7263 = 2493 x 2 + 2277
Step 2: Since the reminder 2493 ≠ 0, we apply division lemma to 2277 and 2493, to get
2493 = 2277 x 1 + 216
Step 3: We consider the new divisor 2277 and the new remainder 216, and apply the division lemma to get
2277 = 216 x 10 + 117
We consider the new divisor 216 and the new remainder 117,and apply the division lemma to get
216 = 117 x 1 + 99
We consider the new divisor 117 and the new remainder 99,and apply the division lemma to get
117 = 99 x 1 + 18
We consider the new divisor 99 and the new remainder 18,and apply the division lemma to get
99 = 18 x 5 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 7263 and 2493 is 9
Notice that 9 = HCF(18,9) = HCF(99,18) = HCF(117,99) = HCF(216,117) = HCF(2277,216) = HCF(2493,2277) = HCF(7263,2493) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45095 > 9, we apply the division lemma to 45095 and 9, to get
45095 = 9 x 5010 + 5
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get
9 = 5 x 1 + 4
Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 45095 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(45095,9) .
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Frequently Asked Questions on HCF of 7263, 2493, 45095 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 7263, 2493, 45095?
Answer: HCF of 7263, 2493, 45095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7263, 2493, 45095 using Euclid's Algorithm?
Answer: For arbitrary numbers 7263, 2493, 45095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
