Highest Common Factor of 25, 165, 310, 785 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 25, 165, 310, 785 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 25, 165, 310, 785 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 25, 165, 310, 785 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 25, 165, 310, 785 is 5.

HCF(25, 165, 310, 785) = 5

HCF of 25, 165, 310, 785 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 25, 165, 310, 785 is 5.

Highest Common Factor of 25,165,310,785 using Euclid's algorithm

Step 1: Since 165 > 25, we apply the division lemma to 165 and 25, to get

165 = 25 x 6 + 15

Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 15 and 25, to get

25 = 15 x 1 + 10

Step 3: We consider the new divisor 15 and the new remainder 10, and apply the division lemma to get

15 = 10 x 1 + 5

We consider the new divisor 10 and the new remainder 5, and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 25 and 165 is 5

Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(25,15) = HCF(165,25) .


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

Step 1: Since 310 > 5, we apply the division lemma to 310 and 5, to get

310 = 5 x 62 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 310 is 5

Notice that 5 = HCF(310,5) .


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

Step 1: Since 785 > 5, we apply the division lemma to 785 and 5, to get

785 = 5 x 157 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 785 is 5

Notice that 5 = HCF(785,5) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 25, 165, 310, 785 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 25, 165, 310, 785?

Answer: HCF of 25, 165, 310, 785 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 25, 165, 310, 785 using Euclid's Algorithm?

Answer: For arbitrary numbers 25, 165, 310, 785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

Highest Common Factor of 25,165,310,785 using Euclid's algorithm