Highest Common Factor of 4725, 3311 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 4725, 3311 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4725, 3311 is 7 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 4725, 3311 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 4725, 3311 is 7.
HCF(4725, 3311) = 7
HCF of 4725, 3311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4725, 3311 is 7.
Highest Common Factor of 4725,3311 is 7
Step 1: Since 4725 > 3311, we apply the division lemma to 4725 and 3311, to get
4725 = 3311 x 1 + 1414
Step 2: Since the reminder 3311 ≠ 0, we apply division lemma to 1414 and 3311, to get
3311 = 1414 x 2 + 483
Step 3: We consider the new divisor 1414 and the new remainder 483, and apply the division lemma to get
1414 = 483 x 2 + 448
We consider the new divisor 483 and the new remainder 448,and apply the division lemma to get
483 = 448 x 1 + 35
We consider the new divisor 448 and the new remainder 35,and apply the division lemma to get
448 = 35 x 12 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4725 and 3311 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(448,35) = HCF(483,448) = HCF(1414,483) = HCF(3311,1414) = HCF(4725,3311) .
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Frequently Asked Questions on HCF of 4725, 3311 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 4725, 3311?
Answer: HCF of 4725, 3311 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4725, 3311 using Euclid's Algorithm?
Answer: For arbitrary numbers 4725, 3311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
