Highest Common Factor of 5280, 8488 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 5280, 8488 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5280, 8488 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 5280, 8488 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 5280, 8488 is 8.
HCF(5280, 8488) = 8
HCF of 5280, 8488 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5280, 8488 is 8.
Highest Common Factor of 5280,8488 is 8
Step 1: Since 8488 > 5280, we apply the division lemma to 8488 and 5280, to get
8488 = 5280 x 1 + 3208
Step 2: Since the reminder 5280 ≠ 0, we apply division lemma to 3208 and 5280, to get
5280 = 3208 x 1 + 2072
Step 3: We consider the new divisor 3208 and the new remainder 2072, and apply the division lemma to get
3208 = 2072 x 1 + 1136
We consider the new divisor 2072 and the new remainder 1136,and apply the division lemma to get
2072 = 1136 x 1 + 936
We consider the new divisor 1136 and the new remainder 936,and apply the division lemma to get
1136 = 936 x 1 + 200
We consider the new divisor 936 and the new remainder 200,and apply the division lemma to get
936 = 200 x 4 + 136
We consider the new divisor 200 and the new remainder 136,and apply the division lemma to get
200 = 136 x 1 + 64
We consider the new divisor 136 and the new remainder 64,and apply the division lemma to get
136 = 64 x 2 + 8
We consider the new divisor 64 and the new remainder 8,and apply the division lemma to get
64 = 8 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5280 and 8488 is 8
Notice that 8 = HCF(64,8) = HCF(136,64) = HCF(200,136) = HCF(936,200) = HCF(1136,936) = HCF(2072,1136) = HCF(3208,2072) = HCF(5280,3208) = HCF(8488,5280) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5280, 8488 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 5280, 8488?
Answer: HCF of 5280, 8488 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5280, 8488 using Euclid's Algorithm?
Answer: For arbitrary numbers 5280, 8488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.