Highest Common Factor of 620, 247, 825 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 620, 247, 825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 247, 825 is 1 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 620, 247, 825 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 620, 247, 825 is 1.

HCF(620, 247, 825) = 1

HCF of 620, 247, 825 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 620, 247, 825 is 1.

Highest Common Factor of 620,247,825 using Euclid's algorithm

Highest Common Factor of 620,247,825 is 1

Step 1: Since 620 > 247, we apply the division lemma to 620 and 247, to get

620 = 247 x 2 + 126

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 126 and 247, to get

247 = 126 x 1 + 121

Step 3: We consider the new divisor 126 and the new remainder 121, and apply the division lemma to get

126 = 121 x 1 + 5

We consider the new divisor 121 and the new remainder 5,and apply the division lemma to get

121 = 5 x 24 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 620 and 247 is 1

Notice that 1 = HCF(5,1) = HCF(121,5) = HCF(126,121) = HCF(247,126) = HCF(620,247) .


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

Step 1: Since 825 > 1, we apply the division lemma to 825 and 1, to get

825 = 1 x 825 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 825 is 1

Notice that 1 = HCF(825,1) .

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Frequently Asked Questions on HCF of 620, 247, 825 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 620, 247, 825?

Answer: HCF of 620, 247, 825 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 247, 825 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 247, 825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.