Highest Common Factor of 8870, 3040 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 8870, 3040 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 8870, 3040 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 8870, 3040 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 8870, 3040 is 10.
HCF(8870, 3040) = 10
HCF of 8870, 3040 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8870, 3040 is 10.
Highest Common Factor of 8870,3040 is 10
Step 1: Since 8870 > 3040, we apply the division lemma to 8870 and 3040, to get
8870 = 3040 x 2 + 2790
Step 2: Since the reminder 3040 ≠ 0, we apply division lemma to 2790 and 3040, to get
3040 = 2790 x 1 + 250
Step 3: We consider the new divisor 2790 and the new remainder 250, and apply the division lemma to get
2790 = 250 x 11 + 40
We consider the new divisor 250 and the new remainder 40,and apply the division lemma to get
250 = 40 x 6 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 8870 and 3040 is 10
Notice that 10 = HCF(40,10) = HCF(250,40) = HCF(2790,250) = HCF(3040,2790) = HCF(8870,3040) .
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Frequently Asked Questions on HCF of 8870, 3040 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 8870, 3040?
Answer: HCF of 8870, 3040 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8870, 3040 using Euclid's Algorithm?
Answer: For arbitrary numbers 8870, 3040 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.