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 846, 517, 243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 846, 517, 243 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 846, 517, 243 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 846, 517, 243 is 1.
HCF(846, 517, 243) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 846, 517, 243 is 1.
Step 1: Since 846 > 517, we apply the division lemma to 846 and 517, to get
846 = 517 x 1 + 329
Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 329 and 517, to get
517 = 329 x 1 + 188
Step 3: We consider the new divisor 329 and the new remainder 188, and apply the division lemma to get
329 = 188 x 1 + 141
We consider the new divisor 188 and the new remainder 141,and apply the division lemma to get
188 = 141 x 1 + 47
We consider the new divisor 141 and the new remainder 47,and apply the division lemma to get
141 = 47 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 846 and 517 is 47
Notice that 47 = HCF(141,47) = HCF(188,141) = HCF(329,188) = HCF(517,329) = HCF(846,517) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 243 > 47, we apply the division lemma to 243 and 47, to get
243 = 47 x 5 + 8
Step 2: Since the reminder 47 ≠ 0, we apply division lemma to 8 and 47, to get
47 = 8 x 5 + 7
Step 3: We consider the new divisor 8 and the new remainder 7, and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 47 and 243 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(47,8) = HCF(243,47) .
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 846, 517, 243?
Answer: HCF of 846, 517, 243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 846, 517, 243 using Euclid's Algorithm?
Answer: For arbitrary numbers 846, 517, 243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.