Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Highest Common Factor of 20, 895, 650 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 20, 895, 650 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 20, 895, 650 is 5 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 20, 895, 650 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 20, 895, 650 is 5.

HCF(20, 895, 650) = 5

HCF of 20, 895, 650 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 20, 895, 650 is 5.

Highest Common Factor of 20,895,650 using Euclid's algorithm

Step 1: Since 895 > 20, we apply the division lemma to 895 and 20, to get

895 = 20 x 44 + 15

Step 2: Since the reminder 20 ≠ 0, we apply division lemma to 15 and 20, to get

20 = 15 x 1 + 5

Step 3: We consider the new divisor 15 and the new remainder 5, and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 20 and 895 is 5

Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(895,20) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 650 > 5, we apply the division lemma to 650 and 5, to get

650 = 5 x 130 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 650 is 5

Notice that 5 = HCF(650,5) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 20, 895, 650 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 20, 895, 650?

Answer: HCF of 20, 895, 650 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 20, 895, 650 using Euclid's Algorithm?

Answer: For arbitrary numbers 20, 895, 650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.