Highest Common Factor of 902, 659, 49 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 902, 659, 49 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 902, 659, 49 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 902, 659, 49 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 902, 659, 49 is 1.

HCF(902, 659, 49) = 1

HCF of 902, 659, 49 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 902, 659, 49 is 1.

Highest Common Factor of 902,659,49 using Euclid's algorithm

Highest Common Factor of 902,659,49 is 1

Step 1: Since 902 > 659, we apply the division lemma to 902 and 659, to get

902 = 659 x 1 + 243

Step 2: Since the reminder 659 ≠ 0, we apply division lemma to 243 and 659, to get

659 = 243 x 2 + 173

Step 3: We consider the new divisor 243 and the new remainder 173, and apply the division lemma to get

243 = 173 x 1 + 70

We consider the new divisor 173 and the new remainder 70,and apply the division lemma to get

173 = 70 x 2 + 33

We consider the new divisor 70 and the new remainder 33,and apply the division lemma to get

70 = 33 x 2 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 902 and 659 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(70,33) = HCF(173,70) = HCF(243,173) = HCF(659,243) = HCF(902,659) .

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

Step 1: Since 49 > 1, we apply the division lemma to 49 and 1, to get

49 = 1 x 49 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 49 is 1

Notice that 1 = HCF(49,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 902, 659, 49 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 902, 659, 49?

Answer: HCF of 902, 659, 49 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 902, 659, 49 using Euclid's Algorithm?

Answer: For arbitrary numbers 902, 659, 49 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.