Highest Common Factor of 1030, 9240 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 1030, 9240 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 1030, 9240 is 10 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 1030, 9240 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 1030, 9240 is 10.
HCF(1030, 9240) = 10
HCF of 1030, 9240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1030, 9240 is 10.
Highest Common Factor of 1030,9240 is 10
Step 1: Since 9240 > 1030, we apply the division lemma to 9240 and 1030, to get
9240 = 1030 x 8 + 1000
Step 2: Since the reminder 1030 ≠ 0, we apply division lemma to 1000 and 1030, to get
1030 = 1000 x 1 + 30
Step 3: We consider the new divisor 1000 and the new remainder 30, and apply the division lemma to get
1000 = 30 x 33 + 10
We consider the new divisor 30 and the new remainder 10, and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 1030 and 9240 is 10
Notice that 10 = HCF(30,10) = HCF(1000,30) = HCF(1030,1000) = HCF(9240,1030) .
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Frequently Asked Questions on HCF of 1030, 9240 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 1030, 9240?
Answer: HCF of 1030, 9240 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1030, 9240 using Euclid's Algorithm?
Answer: For arbitrary numbers 1030, 9240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.