Highest Common Factor of 3900, 7458, 53229 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 3900, 7458, 53229 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3900, 7458, 53229 is 3 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 3900, 7458, 53229 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 3900, 7458, 53229 is 3.
HCF(3900, 7458, 53229) = 3
HCF of 3900, 7458, 53229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3900, 7458, 53229 is 3.
Highest Common Factor of 3900,7458,53229 is 3
Step 1: Since 7458 > 3900, we apply the division lemma to 7458 and 3900, to get
7458 = 3900 x 1 + 3558
Step 2: Since the reminder 3900 ≠ 0, we apply division lemma to 3558 and 3900, to get
3900 = 3558 x 1 + 342
Step 3: We consider the new divisor 3558 and the new remainder 342, and apply the division lemma to get
3558 = 342 x 10 + 138
We consider the new divisor 342 and the new remainder 138,and apply the division lemma to get
342 = 138 x 2 + 66
We consider the new divisor 138 and the new remainder 66,and apply the division lemma to get
138 = 66 x 2 + 6
We consider the new divisor 66 and the new remainder 6,and apply the division lemma to get
66 = 6 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3900 and 7458 is 6
Notice that 6 = HCF(66,6) = HCF(138,66) = HCF(342,138) = HCF(3558,342) = HCF(3900,3558) = HCF(7458,3900) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53229 > 6, we apply the division lemma to 53229 and 6, to get
53229 = 6 x 8871 + 3
Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 3 and 6, to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6 and 53229 is 3
Notice that 3 = HCF(6,3) = HCF(53229,6) .
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Frequently Asked Questions on HCF of 3900, 7458, 53229 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 3900, 7458, 53229?
Answer: HCF of 3900, 7458, 53229 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3900, 7458, 53229 using Euclid's Algorithm?
Answer: For arbitrary numbers 3900, 7458, 53229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.