Highest Common Factor of 313, 837, 156, 98 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 313, 837, 156, 98 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 313, 837, 156, 98 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 313, 837, 156, 98 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 313, 837, 156, 98 is 1.

HCF(313, 837, 156, 98) = 1

HCF of 313, 837, 156, 98 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 313, 837, 156, 98 is 1.

Highest Common Factor of 313,837,156,98 using Euclid's algorithm

Highest Common Factor of 313,837,156,98 is 1

Step 1: Since 837 > 313, we apply the division lemma to 837 and 313, to get

837 = 313 x 2 + 211

Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 211 and 313, to get

313 = 211 x 1 + 102

Step 3: We consider the new divisor 211 and the new remainder 102, and apply the division lemma to get

211 = 102 x 2 + 7

We consider the new divisor 102 and the new remainder 7,and apply the division lemma to get

102 = 7 x 14 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 313 and 837 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(102,7) = HCF(211,102) = HCF(313,211) = HCF(837,313) .

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

Step 1: Since 156 > 1, we apply the division lemma to 156 and 1, to get

156 = 1 x 156 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 156 is 1

Notice that 1 = HCF(156,1) .

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

Step 1: Since 98 > 1, we apply the division lemma to 98 and 1, to get

98 = 1 x 98 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98 is 1

Notice that 1 = HCF(98,1) .

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Frequently Asked Questions on HCF of 313, 837, 156, 98 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 313, 837, 156, 98?

Answer: HCF of 313, 837, 156, 98 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 313, 837, 156, 98 using Euclid's Algorithm?

Answer: For arbitrary numbers 313, 837, 156, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.