HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 28, 77, 91, 118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 28, 77, 91, 118 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 28, 77, 91, 118 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 28, 77, 91, 118 is **1**.

HCF(28, 77, 91, 118) = 1

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

Highest common factor (HCF) of 28, 77, 91, 118 is **1**.

**Step 1:** Since 77 > 28, we apply the division lemma to 77 and 28, to get

77 = 28 x 2 + 21

**Step 2:** Since the reminder 28 ≠ 0, we apply division lemma to 21 and 28, to get

28 = 21 x 1 + 7

**Step 3:** We consider the new divisor 21 and the new remainder 7, and apply the division lemma to get

21 = 7 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 28 and 77 is 7

Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(77,28) .

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

**Step 1:** Since 91 > 7, we apply the division lemma to 91 and 7, to get

91 = 7 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 91 is 7

Notice that 7 = HCF(91,7) .

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

**Step 1:** Since 118 > 7, we apply the division lemma to 118 and 7, to get

118 = 7 x 16 + 6

**Step 2:** Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get

7 = 6 x 1 + 1

**Step 3:** We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 118 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(118,7) .

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 28, 77, 91, 118?

Answer: HCF of 28, 77, 91, 118 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 28, 77, 91, 118 using Euclid's Algorithm?

Answer: For arbitrary numbers 28, 77, 91, 118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.