Highest Common Factor of 3085, 5053 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 3085, 5053 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3085, 5053 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 3085, 5053 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 3085, 5053 is 1.
HCF(3085, 5053) = 1
HCF of 3085, 5053 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3085, 5053 is 1.
Highest Common Factor of 3085,5053 is 1
Step 1: Since 5053 > 3085, we apply the division lemma to 5053 and 3085, to get
5053 = 3085 x 1 + 1968
Step 2: Since the reminder 3085 ≠ 0, we apply division lemma to 1968 and 3085, to get
3085 = 1968 x 1 + 1117
Step 3: We consider the new divisor 1968 and the new remainder 1117, and apply the division lemma to get
1968 = 1117 x 1 + 851
We consider the new divisor 1117 and the new remainder 851,and apply the division lemma to get
1117 = 851 x 1 + 266
We consider the new divisor 851 and the new remainder 266,and apply the division lemma to get
851 = 266 x 3 + 53
We consider the new divisor 266 and the new remainder 53,and apply the division lemma to get
266 = 53 x 5 + 1
We consider the new divisor 53 and the new remainder 1,and apply the division lemma to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3085 and 5053 is 1
Notice that 1 = HCF(53,1) = HCF(266,53) = HCF(851,266) = HCF(1117,851) = HCF(1968,1117) = HCF(3085,1968) = HCF(5053,3085) .
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Frequently Asked Questions on HCF of 3085, 5053 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 3085, 5053?
Answer: HCF of 3085, 5053 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3085, 5053 using Euclid's Algorithm?
Answer: For arbitrary numbers 3085, 5053 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
