HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 49, 62, 80, 117 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 49, 62, 80, 117 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 49, 62, 80, 117 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 49, 62, 80, 117 is **1**.

HCF(49, 62, 80, 117) = 1

*Highest common factor* or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

Highest common factor (HCF) of 49, 62, 80, 117 is **1**.

**Step 1:** Since 62 > 49, we apply the division lemma to 62 and 49, to get

62 = 49 x 1 + 13

**Step 2:** Since the reminder 49 ≠ 0, we apply division lemma to 13 and 49, to get

49 = 13 x 3 + 10

**Step 3:** We consider the new divisor 13 and the new remainder 10, and apply the division lemma to get

13 = 10 x 1 + 3

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

10 = 3 x 3 + 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 49 and 62 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(49,13) = HCF(62,49) .

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

**Step 1:** Since 80 > 1, we apply the division lemma to 80 and 1, to get

80 = 1 x 80 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1

Notice that 1 = HCF(80,1) .

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

**Step 1:** Since 117 > 1, we apply the division lemma to 117 and 1, to get

117 = 1 x 117 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 117 is 1

Notice that 1 = HCF(117,1) .

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

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 49, 62, 80, 117?

Answer: HCF of 49, 62, 80, 117 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 49, 62, 80, 117 using Euclid's Algorithm?

Answer: For arbitrary numbers 49, 62, 80, 117 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.