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 264, 220 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 264, 220 is 44 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 264, 220 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 264, 220 is 44.
HCF(264, 220) = 44
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 264, 220 is 44.
Step 1: Since 264 > 220, we apply the division lemma to 264 and 220, to get
264 = 220 x 1 + 44
Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 44 and 220, to get
220 = 44 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 264 and 220 is 44
Notice that 44 = HCF(220,44) = HCF(264,220) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 264, 220?
Answer: HCF of 264, 220 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 264, 220 using Euclid's Algorithm?
Answer: For arbitrary numbers 264, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.