Highest Common Factor of 3789, 8800 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 3789, 8800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3789, 8800 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 3789, 8800 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 3789, 8800 is 1.
HCF(3789, 8800) = 1
HCF of 3789, 8800 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3789, 8800 is 1.
Highest Common Factor of 3789,8800 is 1
Step 1: Since 8800 > 3789, we apply the division lemma to 8800 and 3789, to get
8800 = 3789 x 2 + 1222
Step 2: Since the reminder 3789 ≠ 0, we apply division lemma to 1222 and 3789, to get
3789 = 1222 x 3 + 123
Step 3: We consider the new divisor 1222 and the new remainder 123, and apply the division lemma to get
1222 = 123 x 9 + 115
We consider the new divisor 123 and the new remainder 115,and apply the division lemma to get
123 = 115 x 1 + 8
We consider the new divisor 115 and the new remainder 8,and apply the division lemma to get
115 = 8 x 14 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3789 and 8800 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(115,8) = HCF(123,115) = HCF(1222,123) = HCF(3789,1222) = HCF(8800,3789) .
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Frequently Asked Questions on HCF of 3789, 8800 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 3789, 8800?
Answer: HCF of 3789, 8800 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3789, 8800 using Euclid's Algorithm?
Answer: For arbitrary numbers 3789, 8800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.