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 520, 160 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 160 is 40 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 520, 160 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 520, 160 is 40.
HCF(520, 160) = 40
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 160 is 40.
Step 1: Since 520 > 160, we apply the division lemma to 520 and 160, to get
520 = 160 x 3 + 40
Step 2: Since the reminder 160 ≠ 0, we apply division lemma to 40 and 160, to get
160 = 40 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 520 and 160 is 40
Notice that 40 = HCF(160,40) = HCF(520,160) .
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 520, 160?
Answer: HCF of 520, 160 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 160 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.