Highest Common Factor of 8492, 3130 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 8492, 3130 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8492, 3130 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 8492, 3130 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 8492, 3130 is 2.
HCF(8492, 3130) = 2
HCF of 8492, 3130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8492, 3130 is 2.
Highest Common Factor of 8492,3130 is 2
Step 1: Since 8492 > 3130, we apply the division lemma to 8492 and 3130, to get
8492 = 3130 x 2 + 2232
Step 2: Since the reminder 3130 ≠ 0, we apply division lemma to 2232 and 3130, to get
3130 = 2232 x 1 + 898
Step 3: We consider the new divisor 2232 and the new remainder 898, and apply the division lemma to get
2232 = 898 x 2 + 436
We consider the new divisor 898 and the new remainder 436,and apply the division lemma to get
898 = 436 x 2 + 26
We consider the new divisor 436 and the new remainder 26,and apply the division lemma to get
436 = 26 x 16 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8492 and 3130 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(436,26) = HCF(898,436) = HCF(2232,898) = HCF(3130,2232) = HCF(8492,3130) .
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Frequently Asked Questions on HCF of 8492, 3130 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 8492, 3130?
Answer: HCF of 8492, 3130 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8492, 3130 using Euclid's Algorithm?
Answer: For arbitrary numbers 8492, 3130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.