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 5247, 7884, 13517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5247, 7884, 13517 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 5247, 7884, 13517 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 5247, 7884, 13517 is 1.
HCF(5247, 7884, 13517) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5247, 7884, 13517 is 1.
Step 1: Since 7884 > 5247, we apply the division lemma to 7884 and 5247, to get
7884 = 5247 x 1 + 2637
Step 2: Since the reminder 5247 ≠ 0, we apply division lemma to 2637 and 5247, to get
5247 = 2637 x 1 + 2610
Step 3: We consider the new divisor 2637 and the new remainder 2610, and apply the division lemma to get
2637 = 2610 x 1 + 27
We consider the new divisor 2610 and the new remainder 27,and apply the division lemma to get
2610 = 27 x 96 + 18
We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get
27 = 18 x 1 + 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 5247 and 7884 is 9
Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(2610,27) = HCF(2637,2610) = HCF(5247,2637) = HCF(7884,5247) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13517 > 9, we apply the division lemma to 13517 and 9, to get
13517 = 9 x 1501 + 8
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 8 and 9, to get
9 = 8 x 1 + 1
Step 3: We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 13517 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(13517,9) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5247, 7884, 13517?
Answer: HCF of 5247, 7884, 13517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5247, 7884, 13517 using Euclid's Algorithm?
Answer: For arbitrary numbers 5247, 7884, 13517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.