Highest Common Factor of 9080, 4816 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 9080, 4816 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9080, 4816 is 8 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 9080, 4816 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 9080, 4816 is 8.
HCF(9080, 4816) = 8
HCF of 9080, 4816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9080, 4816 is 8.
Highest Common Factor of 9080,4816 is 8
Step 1: Since 9080 > 4816, we apply the division lemma to 9080 and 4816, to get
9080 = 4816 x 1 + 4264
Step 2: Since the reminder 4816 ≠ 0, we apply division lemma to 4264 and 4816, to get
4816 = 4264 x 1 + 552
Step 3: We consider the new divisor 4264 and the new remainder 552, and apply the division lemma to get
4264 = 552 x 7 + 400
We consider the new divisor 552 and the new remainder 400,and apply the division lemma to get
552 = 400 x 1 + 152
We consider the new divisor 400 and the new remainder 152,and apply the division lemma to get
400 = 152 x 2 + 96
We consider the new divisor 152 and the new remainder 96,and apply the division lemma to get
152 = 96 x 1 + 56
We consider the new divisor 96 and the new remainder 56,and apply the division lemma to get
96 = 56 x 1 + 40
We consider the new divisor 56 and the new remainder 40,and apply the division lemma to get
56 = 40 x 1 + 16
We consider the new divisor 40 and the new remainder 16,and apply the division lemma to get
40 = 16 x 2 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 9080 and 4816 is 8
Notice that 8 = HCF(16,8) = HCF(40,16) = HCF(56,40) = HCF(96,56) = HCF(152,96) = HCF(400,152) = HCF(552,400) = HCF(4264,552) = HCF(4816,4264) = HCF(9080,4816) .
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Frequently Asked Questions on HCF of 9080, 4816 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 9080, 4816?
Answer: HCF of 9080, 4816 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9080, 4816 using Euclid's Algorithm?
Answer: For arbitrary numbers 9080, 4816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.