Highest Common Factor of 841, 507, 245 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 841, 507, 245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 841, 507, 245 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 841, 507, 245 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 841, 507, 245 is 1.

HCF(841, 507, 245) = 1

HCF of 841, 507, 245 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 841, 507, 245 is 1.

Highest Common Factor of 841,507,245 using Euclid's algorithm

Highest Common Factor of 841,507,245 is 1

Step 1: Since 841 > 507, we apply the division lemma to 841 and 507, to get

841 = 507 x 1 + 334

Step 2: Since the reminder 507 ≠ 0, we apply division lemma to 334 and 507, to get

507 = 334 x 1 + 173

Step 3: We consider the new divisor 334 and the new remainder 173, and apply the division lemma to get

334 = 173 x 1 + 161

We consider the new divisor 173 and the new remainder 161,and apply the division lemma to get

173 = 161 x 1 + 12

We consider the new divisor 161 and the new remainder 12,and apply the division lemma to get

161 = 12 x 13 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 841 and 507 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(161,12) = HCF(173,161) = HCF(334,173) = HCF(507,334) = HCF(841,507) .

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

Step 1: Since 245 > 1, we apply the division lemma to 245 and 1, to get

245 = 1 x 245 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 245 is 1

Notice that 1 = HCF(245,1) .

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Frequently Asked Questions on HCF of 841, 507, 245 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 841, 507, 245?

Answer: HCF of 841, 507, 245 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 841, 507, 245 using Euclid's Algorithm?

Answer: For arbitrary numbers 841, 507, 245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.