Highest Common Factor of 3355, 4305 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 3355, 4305 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3355, 4305 is 5 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 3355, 4305 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 3355, 4305 is 5.
HCF(3355, 4305) = 5
HCF of 3355, 4305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3355, 4305 is 5.
Highest Common Factor of 3355,4305 is 5
Step 1: Since 4305 > 3355, we apply the division lemma to 4305 and 3355, to get
4305 = 3355 x 1 + 950
Step 2: Since the reminder 3355 ≠ 0, we apply division lemma to 950 and 3355, to get
3355 = 950 x 3 + 505
Step 3: We consider the new divisor 950 and the new remainder 505, and apply the division lemma to get
950 = 505 x 1 + 445
We consider the new divisor 505 and the new remainder 445,and apply the division lemma to get
505 = 445 x 1 + 60
We consider the new divisor 445 and the new remainder 60,and apply the division lemma to get
445 = 60 x 7 + 25
We consider the new divisor 60 and the new remainder 25,and apply the division lemma to get
60 = 25 x 2 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3355 and 4305 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(60,25) = HCF(445,60) = HCF(505,445) = HCF(950,505) = HCF(3355,950) = HCF(4305,3355) .
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Frequently Asked Questions on HCF of 3355, 4305 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 3355, 4305?
Answer: HCF of 3355, 4305 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3355, 4305 using Euclid's Algorithm?
Answer: For arbitrary numbers 3355, 4305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
