Highest Common Factor of 1100, 6828 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 1100, 6828 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1100, 6828 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 1100, 6828 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 1100, 6828 is 4.
HCF(1100, 6828) = 4
HCF of 1100, 6828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1100, 6828 is 4.
Highest Common Factor of 1100,6828 is 4
Step 1: Since 6828 > 1100, we apply the division lemma to 6828 and 1100, to get
6828 = 1100 x 6 + 228
Step 2: Since the reminder 1100 ≠ 0, we apply division lemma to 228 and 1100, to get
1100 = 228 x 4 + 188
Step 3: We consider the new divisor 228 and the new remainder 188, and apply the division lemma to get
228 = 188 x 1 + 40
We consider the new divisor 188 and the new remainder 40,and apply the division lemma to get
188 = 40 x 4 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1100 and 6828 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(188,40) = HCF(228,188) = HCF(1100,228) = HCF(6828,1100) .
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Frequently Asked Questions on HCF of 1100, 6828 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 1100, 6828?
Answer: HCF of 1100, 6828 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1100, 6828 using Euclid's Algorithm?
Answer: For arbitrary numbers 1100, 6828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.