Highest Common Factor of 9116, 2490 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 9116, 2490 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9116, 2490 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 9116, 2490 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 9116, 2490 is 2.
HCF(9116, 2490) = 2
HCF of 9116, 2490 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9116, 2490 is 2.
Highest Common Factor of 9116,2490 is 2
Step 1: Since 9116 > 2490, we apply the division lemma to 9116 and 2490, to get
9116 = 2490 x 3 + 1646
Step 2: Since the reminder 2490 ≠ 0, we apply division lemma to 1646 and 2490, to get
2490 = 1646 x 1 + 844
Step 3: We consider the new divisor 1646 and the new remainder 844, and apply the division lemma to get
1646 = 844 x 1 + 802
We consider the new divisor 844 and the new remainder 802,and apply the division lemma to get
844 = 802 x 1 + 42
We consider the new divisor 802 and the new remainder 42,and apply the division lemma to get
802 = 42 x 19 + 4
We consider the new divisor 42 and the new remainder 4,and apply the division lemma to get
42 = 4 x 10 + 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 9116 and 2490 is 2
Notice that 2 = HCF(4,2) = HCF(42,4) = HCF(802,42) = HCF(844,802) = HCF(1646,844) = HCF(2490,1646) = HCF(9116,2490) .
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Frequently Asked Questions on HCF of 9116, 2490 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 9116, 2490?
Answer: HCF of 9116, 2490 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9116, 2490 using Euclid's Algorithm?
Answer: For arbitrary numbers 9116, 2490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.