Highest Common Factor of 297, 5490, 8017 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 297, 5490, 8017 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 297, 5490, 8017 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 297, 5490, 8017 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 297, 5490, 8017 is 1.
HCF(297, 5490, 8017) = 1
HCF of 297, 5490, 8017 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 297, 5490, 8017 is 1.
Highest Common Factor of 297,5490,8017 is 1
Step 1: Since 5490 > 297, we apply the division lemma to 5490 and 297, to get
5490 = 297 x 18 + 144
Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 144 and 297, to get
297 = 144 x 2 + 9
Step 3: We consider the new divisor 144 and the new remainder 9, and apply the division lemma to get
144 = 9 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 297 and 5490 is 9
Notice that 9 = HCF(144,9) = HCF(297,144) = HCF(5490,297) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8017 > 9, we apply the division lemma to 8017 and 9, to get
8017 = 9 x 890 + 7
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 7 and 9, to get
9 = 7 x 1 + 2
Step 3: We consider the new divisor 7 and the new remainder 2, and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 8017 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(8017,9) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 297, 5490, 8017 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 297, 5490, 8017?
Answer: HCF of 297, 5490, 8017 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 297, 5490, 8017 using Euclid's Algorithm?
Answer: For arbitrary numbers 297, 5490, 8017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.