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 5852, 5054 i.e. 266 the largest integer that leaves a remainder zero for all numbers.
HCF of 5852, 5054 is 266 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 5852, 5054 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 5852, 5054 is 266.
HCF(5852, 5054) = 266
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5852, 5054 is 266.
Step 1: Since 5852 > 5054, we apply the division lemma to 5852 and 5054, to get
5852 = 5054 x 1 + 798
Step 2: Since the reminder 5054 ≠ 0, we apply division lemma to 798 and 5054, to get
5054 = 798 x 6 + 266
Step 3: We consider the new divisor 798 and the new remainder 266, and apply the division lemma to get
798 = 266 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 266, the HCF of 5852 and 5054 is 266
Notice that 266 = HCF(798,266) = HCF(5054,798) = HCF(5852,5054) .
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 5852, 5054?
Answer: HCF of 5852, 5054 is 266 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5852, 5054 using Euclid's Algorithm?
Answer: For arbitrary numbers 5852, 5054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.