Highest Common Factor of 868, 336, 444 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 868, 336, 444 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 336, 444 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 868, 336, 444 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 868, 336, 444 is 4.
HCF(868, 336, 444) = 4
HCF of 868, 336, 444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 336, 444 is 4.
Highest Common Factor of 868,336,444 is 4
Step 1: Since 868 > 336, we apply the division lemma to 868 and 336, to get
868 = 336 x 2 + 196
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 196 and 336, to get
336 = 196 x 1 + 140
Step 3: We consider the new divisor 196 and the new remainder 140, and apply the division lemma to get
196 = 140 x 1 + 56
We consider the new divisor 140 and the new remainder 56,and apply the division lemma to get
140 = 56 x 2 + 28
We consider the new divisor 56 and the new remainder 28,and apply the division lemma to get
56 = 28 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 868 and 336 is 28
Notice that 28 = HCF(56,28) = HCF(140,56) = HCF(196,140) = HCF(336,196) = HCF(868,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 444 > 28, we apply the division lemma to 444 and 28, to get
444 = 28 x 15 + 24
Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 24 and 28, to get
28 = 24 x 1 + 4
Step 3: We consider the new divisor 24 and the new remainder 4, and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 28 and 444 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(444,28) .
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Frequently Asked Questions on HCF of 868, 336, 444 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 868, 336, 444?
Answer: HCF of 868, 336, 444 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 336, 444 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 336, 444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.