Highest Common Factor of 9074, 1230 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 9074, 1230 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9074, 1230 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 9074, 1230 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 9074, 1230 is 2.
HCF(9074, 1230) = 2
HCF of 9074, 1230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9074, 1230 is 2.
Highest Common Factor of 9074,1230 is 2
Step 1: Since 9074 > 1230, we apply the division lemma to 9074 and 1230, to get
9074 = 1230 x 7 + 464
Step 2: Since the reminder 1230 ≠ 0, we apply division lemma to 464 and 1230, to get
1230 = 464 x 2 + 302
Step 3: We consider the new divisor 464 and the new remainder 302, and apply the division lemma to get
464 = 302 x 1 + 162
We consider the new divisor 302 and the new remainder 162,and apply the division lemma to get
302 = 162 x 1 + 140
We consider the new divisor 162 and the new remainder 140,and apply the division lemma to get
162 = 140 x 1 + 22
We consider the new divisor 140 and the new remainder 22,and apply the division lemma to get
140 = 22 x 6 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 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 9074 and 1230 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(140,22) = HCF(162,140) = HCF(302,162) = HCF(464,302) = HCF(1230,464) = HCF(9074,1230) .
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Frequently Asked Questions on HCF of 9074, 1230 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 9074, 1230?
Answer: HCF of 9074, 1230 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9074, 1230 using Euclid's Algorithm?
Answer: For arbitrary numbers 9074, 1230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
