Highest Common Factor of 8852, 6753 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 8852, 6753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8852, 6753 is 1 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 8852, 6753 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 8852, 6753 is 1.
HCF(8852, 6753) = 1
HCF of 8852, 6753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8852, 6753 is 1.
Highest Common Factor of 8852,6753 is 1
Step 1: Since 8852 > 6753, we apply the division lemma to 8852 and 6753, to get
8852 = 6753 x 1 + 2099
Step 2: Since the reminder 6753 ≠ 0, we apply division lemma to 2099 and 6753, to get
6753 = 2099 x 3 + 456
Step 3: We consider the new divisor 2099 and the new remainder 456, and apply the division lemma to get
2099 = 456 x 4 + 275
We consider the new divisor 456 and the new remainder 275,and apply the division lemma to get
456 = 275 x 1 + 181
We consider the new divisor 275 and the new remainder 181,and apply the division lemma to get
275 = 181 x 1 + 94
We consider the new divisor 181 and the new remainder 94,and apply the division lemma to get
181 = 94 x 1 + 87
We consider the new divisor 94 and the new remainder 87,and apply the division lemma to get
94 = 87 x 1 + 7
We consider the new divisor 87 and the new remainder 7,and apply the division lemma to get
87 = 7 x 12 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8852 and 6753 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(87,7) = HCF(94,87) = HCF(181,94) = HCF(275,181) = HCF(456,275) = HCF(2099,456) = HCF(6753,2099) = HCF(8852,6753) .
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Frequently Asked Questions on HCF of 8852, 6753 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 8852, 6753?
Answer: HCF of 8852, 6753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8852, 6753 using Euclid's Algorithm?
Answer: For arbitrary numbers 8852, 6753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
