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 5091, 8304 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5091, 8304 is 3 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 5091, 8304 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 5091, 8304 is 3.
HCF(5091, 8304) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5091, 8304 is 3.
Step 1: Since 8304 > 5091, we apply the division lemma to 8304 and 5091, to get
8304 = 5091 x 1 + 3213
Step 2: Since the reminder 5091 ≠ 0, we apply division lemma to 3213 and 5091, to get
5091 = 3213 x 1 + 1878
Step 3: We consider the new divisor 3213 and the new remainder 1878, and apply the division lemma to get
3213 = 1878 x 1 + 1335
We consider the new divisor 1878 and the new remainder 1335,and apply the division lemma to get
1878 = 1335 x 1 + 543
We consider the new divisor 1335 and the new remainder 543,and apply the division lemma to get
1335 = 543 x 2 + 249
We consider the new divisor 543 and the new remainder 249,and apply the division lemma to get
543 = 249 x 2 + 45
We consider the new divisor 249 and the new remainder 45,and apply the division lemma to get
249 = 45 x 5 + 24
We consider the new divisor 45 and the new remainder 24,and apply the division lemma to get
45 = 24 x 1 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5091 and 8304 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(45,24) = HCF(249,45) = HCF(543,249) = HCF(1335,543) = HCF(1878,1335) = HCF(3213,1878) = HCF(5091,3213) = HCF(8304,5091) .
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 5091, 8304?
Answer: HCF of 5091, 8304 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5091, 8304 using Euclid's Algorithm?
Answer: For arbitrary numbers 5091, 8304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.