Highest Common Factor of 9080, 3998 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 9080, 3998 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9080, 3998 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 9080, 3998 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 9080, 3998 is 2.
HCF(9080, 3998) = 2
HCF of 9080, 3998 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9080, 3998 is 2.
Highest Common Factor of 9080,3998 is 2
Step 1: Since 9080 > 3998, we apply the division lemma to 9080 and 3998, to get
9080 = 3998 x 2 + 1084
Step 2: Since the reminder 3998 ≠ 0, we apply division lemma to 1084 and 3998, to get
3998 = 1084 x 3 + 746
Step 3: We consider the new divisor 1084 and the new remainder 746, and apply the division lemma to get
1084 = 746 x 1 + 338
We consider the new divisor 746 and the new remainder 338,and apply the division lemma to get
746 = 338 x 2 + 70
We consider the new divisor 338 and the new remainder 70,and apply the division lemma to get
338 = 70 x 4 + 58
We consider the new divisor 70 and the new remainder 58,and apply the division lemma to get
70 = 58 x 1 + 12
We consider the new divisor 58 and the new remainder 12,and apply the division lemma to get
58 = 12 x 4 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9080 and 3998 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(58,12) = HCF(70,58) = HCF(338,70) = HCF(746,338) = HCF(1084,746) = HCF(3998,1084) = HCF(9080,3998) .
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Frequently Asked Questions on HCF of 9080, 3998 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 9080, 3998?
Answer: HCF of 9080, 3998 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9080, 3998 using Euclid's Algorithm?
Answer: For arbitrary numbers 9080, 3998 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.