Highest Common Factor of 480, 292 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 480, 292 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 480, 292 is 4 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 480, 292 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 480, 292 is 4.
HCF(480, 292) = 4
HCF of 480, 292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 480, 292 is 4.
Highest Common Factor of 480,292 is 4
Step 1: Since 480 > 292, we apply the division lemma to 480 and 292, to get
480 = 292 x 1 + 188
Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 188 and 292, to get
292 = 188 x 1 + 104
Step 3: We consider the new divisor 188 and the new remainder 104, and apply the division lemma to get
188 = 104 x 1 + 84
We consider the new divisor 104 and the new remainder 84,and apply the division lemma to get
104 = 84 x 1 + 20
We consider the new divisor 84 and the new remainder 20,and apply the division lemma to get
84 = 20 x 4 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 480 and 292 is 4
Notice that 4 = HCF(20,4) = HCF(84,20) = HCF(104,84) = HCF(188,104) = HCF(292,188) = HCF(480,292) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 480, 292 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 480, 292?
Answer: HCF of 480, 292 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 480, 292 using Euclid's Algorithm?
Answer: For arbitrary numbers 480, 292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.