Highest Common Factor of 100, 280 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 100, 280 i.e. 20 the largest integer that leaves a remainder zero for all numbers.
HCF of 100, 280 is 20 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 100, 280 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 100, 280 is 20.
HCF(100, 280) = 20
HCF of 100, 280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 100, 280 is 20.
Highest Common Factor of 100,280 is 20
Step 1: Since 280 > 100, we apply the division lemma to 280 and 100, to get
280 = 100 x 2 + 80
Step 2: Since the reminder 100 ≠ 0, we apply division lemma to 80 and 100, to get
100 = 80 x 1 + 20
Step 3: We consider the new divisor 80 and the new remainder 20, and apply the division lemma to get
80 = 20 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 100 and 280 is 20
Notice that 20 = HCF(80,20) = HCF(100,80) = HCF(280,100) .
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Frequently Asked Questions on HCF of 100, 280 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 100, 280?
Answer: HCF of 100, 280 is 20 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 100, 280 using Euclid's Algorithm?
Answer: For arbitrary numbers 100, 280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.