Highest Common Factor of 836, 4668, 4448 using Euclid's algorithm
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, 4668, 4448 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 4668, 4448 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, 4668, 4448 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, 4668, 4448 is 4.
HCF(836, 4668, 4448) = 4
HCF of 836, 4668, 4448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 4668, 4448 is 4.
Highest Common Factor of 836,4668,4448 is 4
Step 1: Since 4668 > 836, we apply the division lemma to 4668 and 836, to get
4668 = 836 x 5 + 488
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 488 and 836, to get
836 = 488 x 1 + 348
Step 3: We consider the new divisor 488 and the new remainder 348, and apply the division lemma to get
488 = 348 x 1 + 140
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 4668 is 4
Notice that 4 = HCF(68,4) = HCF(140,68) = HCF(348,140) = HCF(488,348) = HCF(836,488) = HCF(4668,836) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4448 > 4, we apply the division lemma to 4448 and 4, to get
4448 = 4 x 1112 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 4448 is 4
Notice that 4 = HCF(4448,4) .
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Frequently Asked Questions on HCF of 836, 4668, 4448 using Euclid's Algorithm
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, 4668, 4448?
Answer: HCF of 836, 4668, 4448 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 4668, 4448 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 4668, 4448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.