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 836, 57816 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 57816 is 44 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 836, 57816 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 836, 57816 is 44.
HCF(836, 57816) = 44
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 57816 is 44.
Step 1: Since 57816 > 836, we apply the division lemma to 57816 and 836, to get
57816 = 836 x 69 + 132
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 132 and 836, to get
836 = 132 x 6 + 44
Step 3: We consider the new divisor 132 and the new remainder 44, and apply the division lemma to get
132 = 44 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 836 and 57816 is 44
Notice that 44 = HCF(132,44) = HCF(836,132) = HCF(57816,836) .
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 836, 57816?
Answer: HCF of 836, 57816 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 57816 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 57816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.