Highest Common Factor of 3136, 4210, 83018 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 3136, 4210, 83018 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3136, 4210, 83018 is 2 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 3136, 4210, 83018 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 3136, 4210, 83018 is 2.
HCF(3136, 4210, 83018) = 2
HCF of 3136, 4210, 83018 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3136, 4210, 83018 is 2.
Highest Common Factor of 3136,4210,83018 is 2
Step 1: Since 4210 > 3136, we apply the division lemma to 4210 and 3136, to get
4210 = 3136 x 1 + 1074
Step 2: Since the reminder 3136 ≠ 0, we apply division lemma to 1074 and 3136, to get
3136 = 1074 x 2 + 988
Step 3: We consider the new divisor 1074 and the new remainder 988, and apply the division lemma to get
1074 = 988 x 1 + 86
We consider the new divisor 988 and the new remainder 86,and apply the division lemma to get
988 = 86 x 11 + 42
We consider the new divisor 86 and the new remainder 42,and apply the division lemma to get
86 = 42 x 2 + 2
We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3136 and 4210 is 2
Notice that 2 = HCF(42,2) = HCF(86,42) = HCF(988,86) = HCF(1074,988) = HCF(3136,1074) = HCF(4210,3136) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83018 > 2, we apply the division lemma to 83018 and 2, to get
83018 = 2 x 41509 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 83018 is 2
Notice that 2 = HCF(83018,2) .
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Frequently Asked Questions on HCF of 3136, 4210, 83018 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 3136, 4210, 83018?
Answer: HCF of 3136, 4210, 83018 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3136, 4210, 83018 using Euclid's Algorithm?
Answer: For arbitrary numbers 3136, 4210, 83018 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
