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 8483, 2921, 62094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8483, 2921, 62094 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 8483, 2921, 62094 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 8483, 2921, 62094 is 1.
HCF(8483, 2921, 62094) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8483, 2921, 62094 is 1.
Step 1: Since 8483 > 2921, we apply the division lemma to 8483 and 2921, to get
8483 = 2921 x 2 + 2641
Step 2: Since the reminder 2921 ≠ 0, we apply division lemma to 2641 and 2921, to get
2921 = 2641 x 1 + 280
Step 3: We consider the new divisor 2641 and the new remainder 280, and apply the division lemma to get
2641 = 280 x 9 + 121
We consider the new divisor 280 and the new remainder 121,and apply the division lemma to get
280 = 121 x 2 + 38
We consider the new divisor 121 and the new remainder 38,and apply the division lemma to get
121 = 38 x 3 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8483 and 2921 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(121,38) = HCF(280,121) = HCF(2641,280) = HCF(2921,2641) = HCF(8483,2921) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62094 > 1, we apply the division lemma to 62094 and 1, to get
62094 = 1 x 62094 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62094 is 1
Notice that 1 = HCF(62094,1) .
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 8483, 2921, 62094?
Answer: HCF of 8483, 2921, 62094 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8483, 2921, 62094 using Euclid's Algorithm?
Answer: For arbitrary numbers 8483, 2921, 62094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.