Highest Common Factor of 9816, 5480 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 9816, 5480 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9816, 5480 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 9816, 5480 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 9816, 5480 is 8.
HCF(9816, 5480) = 8
HCF of 9816, 5480 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9816, 5480 is 8.
Highest Common Factor of 9816,5480 is 8
Step 1: Since 9816 > 5480, we apply the division lemma to 9816 and 5480, to get
9816 = 5480 x 1 + 4336
Step 2: Since the reminder 5480 ≠ 0, we apply division lemma to 4336 and 5480, to get
5480 = 4336 x 1 + 1144
Step 3: We consider the new divisor 4336 and the new remainder 1144, and apply the division lemma to get
4336 = 1144 x 3 + 904
We consider the new divisor 1144 and the new remainder 904,and apply the division lemma to get
1144 = 904 x 1 + 240
We consider the new divisor 904 and the new remainder 240,and apply the division lemma to get
904 = 240 x 3 + 184
We consider the new divisor 240 and the new remainder 184,and apply the division lemma to get
240 = 184 x 1 + 56
We consider the new divisor 184 and the new remainder 56,and apply the division lemma to get
184 = 56 x 3 + 16
We consider the new divisor 56 and the new remainder 16,and apply the division lemma to get
56 = 16 x 3 + 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 9816 and 5480 is 8
Notice that 8 = HCF(16,8) = HCF(56,16) = HCF(184,56) = HCF(240,184) = HCF(904,240) = HCF(1144,904) = HCF(4336,1144) = HCF(5480,4336) = HCF(9816,5480) .
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Frequently Asked Questions on HCF of 9816, 5480 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 9816, 5480?
Answer: HCF of 9816, 5480 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9816, 5480 using Euclid's Algorithm?
Answer: For arbitrary numbers 9816, 5480 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.