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, 488 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 488 is 4 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, 488 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, 488 is 4.
HCF(836, 488) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 488 is 4.
Step 1: Since 836 > 488, we apply the division lemma to 836 and 488, to get
836 = 488 x 1 + 348
Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 348 and 488, to get
488 = 348 x 1 + 140
Step 3: We consider the new divisor 348 and the new remainder 140, and apply the division lemma to get
348 = 140 x 2 + 68
We consider the new divisor 140 and the new remainder 68,and apply the division lemma to get
140 = 68 x 2 + 4
We consider the new divisor 68 and the new remainder 4,and apply the division lemma to get
68 = 4 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 836 and 488 is 4
Notice that 4 = HCF(68,4) = HCF(140,68) = HCF(348,140) = HCF(488,348) = HCF(836,488) .
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, 488?
Answer: HCF of 836, 488 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 488 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.