Highest Common Factor of 9280, 7034 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 9280, 7034 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9280, 7034 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 9280, 7034 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 9280, 7034 is 2.
HCF(9280, 7034) = 2
HCF of 9280, 7034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9280, 7034 is 2.
Highest Common Factor of 9280,7034 is 2
Step 1: Since 9280 > 7034, we apply the division lemma to 9280 and 7034, to get
9280 = 7034 x 1 + 2246
Step 2: Since the reminder 7034 ≠ 0, we apply division lemma to 2246 and 7034, to get
7034 = 2246 x 3 + 296
Step 3: We consider the new divisor 2246 and the new remainder 296, and apply the division lemma to get
2246 = 296 x 7 + 174
We consider the new divisor 296 and the new remainder 174,and apply the division lemma to get
296 = 174 x 1 + 122
We consider the new divisor 174 and the new remainder 122,and apply the division lemma to get
174 = 122 x 1 + 52
We consider the new divisor 122 and the new remainder 52,and apply the division lemma to get
122 = 52 x 2 + 18
We consider the new divisor 52 and the new remainder 18,and apply the division lemma to get
52 = 18 x 2 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9280 and 7034 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(52,18) = HCF(122,52) = HCF(174,122) = HCF(296,174) = HCF(2246,296) = HCF(7034,2246) = HCF(9280,7034) .
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Frequently Asked Questions on HCF of 9280, 7034 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 9280, 7034?
Answer: HCF of 9280, 7034 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9280, 7034 using Euclid's Algorithm?
Answer: For arbitrary numbers 9280, 7034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.