HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 35, 42, 77, 98 i.e. 7 the largest integer that leaves a remainder zero for all numbers.

HCF of 35, 42, 77, 98 is 7 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 35, 42, 77, 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 35, 42, 77, 98 is **7**.

HCF(35, 42, 77, 98) = 7

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

Highest common factor (HCF) of 35, 42, 77, 98 is **7**.

**Step 1:** Since 42 > 35, we apply the division lemma to 42 and 35, to get

42 = 35 x 1 + 7

**Step 2:** Since the reminder 35 ≠ 0, we apply division lemma to 7 and 35, to get

35 = 7 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 35 and 42 is 7

Notice that 7 = HCF(35,7) = HCF(42,35) .

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

**Step 1:** Since 77 > 7, we apply the division lemma to 77 and 7, to get

77 = 7 x 11 + 0

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

Notice that 7 = HCF(77,7) .

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

**Step 1:** Since 98 > 7, we apply the division lemma to 98 and 7, to get

98 = 7 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 98 is 7

Notice that 7 = HCF(98,7) .

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 35, 42, 77, 98?

Answer: HCF of 35, 42, 77, 98 is 7 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 35, 42, 77, 98 using Euclid's Algorithm?

Answer: For arbitrary numbers 35, 42, 77, 98 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.