Highest Common Factor of 3098, 9370 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 3098, 9370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3098, 9370 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 3098, 9370 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 3098, 9370 is 2.
HCF(3098, 9370) = 2
HCF of 3098, 9370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3098, 9370 is 2.
Highest Common Factor of 3098,9370 is 2
Step 1: Since 9370 > 3098, we apply the division lemma to 9370 and 3098, to get
9370 = 3098 x 3 + 76
Step 2: Since the reminder 3098 ≠ 0, we apply division lemma to 76 and 3098, to get
3098 = 76 x 40 + 58
Step 3: We consider the new divisor 76 and the new remainder 58, and apply the division lemma to get
76 = 58 x 1 + 18
We consider the new divisor 58 and the new remainder 18,and apply the division lemma to get
58 = 18 x 3 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3098 and 9370 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(58,18) = HCF(76,58) = HCF(3098,76) = HCF(9370,3098) .
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Frequently Asked Questions on HCF of 3098, 9370 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 3098, 9370?
Answer: HCF of 3098, 9370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3098, 9370 using Euclid's Algorithm?
Answer: For arbitrary numbers 3098, 9370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.