Highest Common Factor of 977, 684, 544, 433 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 977, 684, 544, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 977, 684, 544, 433 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 977, 684, 544, 433 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 977, 684, 544, 433 is 1.

HCF(977, 684, 544, 433) = 1

HCF of 977, 684, 544, 433 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 977, 684, 544, 433 is 1.

Highest Common Factor of 977,684,544,433 using Euclid's algorithm

Highest Common Factor of 977,684,544,433 is 1

Step 1: Since 977 > 684, we apply the division lemma to 977 and 684, to get

977 = 684 x 1 + 293

Step 2: Since the reminder 684 ≠ 0, we apply division lemma to 293 and 684, to get

684 = 293 x 2 + 98

Step 3: We consider the new divisor 293 and the new remainder 98, and apply the division lemma to get

293 = 98 x 2 + 97

We consider the new divisor 98 and the new remainder 97,and apply the division lemma to get

98 = 97 x 1 + 1

We consider the new divisor 97 and the new remainder 1,and apply the division lemma to get

97 = 1 x 97 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 684 is 1

Notice that 1 = HCF(97,1) = HCF(98,97) = HCF(293,98) = HCF(684,293) = HCF(977,684) .


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

Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get

544 = 1 x 544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1

Notice that 1 = HCF(544,1) .


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

Step 1: Since 433 > 1, we apply the division lemma to 433 and 1, to get

433 = 1 x 433 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 433 is 1

Notice that 1 = HCF(433,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 977, 684, 544, 433 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 977, 684, 544, 433?

Answer: HCF of 977, 684, 544, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 977, 684, 544, 433 using Euclid's Algorithm?

Answer: For arbitrary numbers 977, 684, 544, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.