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 813, 495 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 813, 495 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 813, 495 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 813, 495 is 3.
HCF(813, 495) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 813, 495 is 3.
Step 1: Since 813 > 495, we apply the division lemma to 813 and 495, to get
813 = 495 x 1 + 318
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 318 and 495, to get
495 = 318 x 1 + 177
Step 3: We consider the new divisor 318 and the new remainder 177, and apply the division lemma to get
318 = 177 x 1 + 141
We consider the new divisor 177 and the new remainder 141,and apply the division lemma to get
177 = 141 x 1 + 36
We consider the new divisor 141 and the new remainder 36,and apply the division lemma to get
141 = 36 x 3 + 33
We consider the new divisor 36 and the new remainder 33,and apply the division lemma to get
36 = 33 x 1 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 813 and 495 is 3
Notice that 3 = HCF(33,3) = HCF(36,33) = HCF(141,36) = HCF(177,141) = HCF(318,177) = HCF(495,318) = HCF(813,495) .
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 813, 495?
Answer: HCF of 813, 495 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 813, 495 using Euclid's Algorithm?
Answer: For arbitrary numbers 813, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.