Highest Common Factor of 3140, 8229 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 3140, 8229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3140, 8229 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 3140, 8229 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 3140, 8229 is 1.
HCF(3140, 8229) = 1
HCF of 3140, 8229 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3140, 8229 is 1.
Highest Common Factor of 3140,8229 is 1
Step 1: Since 8229 > 3140, we apply the division lemma to 8229 and 3140, to get
8229 = 3140 x 2 + 1949
Step 2: Since the reminder 3140 ≠ 0, we apply division lemma to 1949 and 3140, to get
3140 = 1949 x 1 + 1191
Step 3: We consider the new divisor 1949 and the new remainder 1191, and apply the division lemma to get
1949 = 1191 x 1 + 758
We consider the new divisor 1191 and the new remainder 758,and apply the division lemma to get
1191 = 758 x 1 + 433
We consider the new divisor 758 and the new remainder 433,and apply the division lemma to get
758 = 433 x 1 + 325
We consider the new divisor 433 and the new remainder 325,and apply the division lemma to get
433 = 325 x 1 + 108
We consider the new divisor 325 and the new remainder 108,and apply the division lemma to get
325 = 108 x 3 + 1
We consider the new divisor 108 and the new remainder 1,and apply the division lemma to get
108 = 1 x 108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3140 and 8229 is 1
Notice that 1 = HCF(108,1) = HCF(325,108) = HCF(433,325) = HCF(758,433) = HCF(1191,758) = HCF(1949,1191) = HCF(3140,1949) = HCF(8229,3140) .
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Frequently Asked Questions on HCF of 3140, 8229 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 3140, 8229?
Answer: HCF of 3140, 8229 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3140, 8229 using Euclid's Algorithm?
Answer: For arbitrary numbers 3140, 8229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
