Highest Common Factor of 625, 803, 750 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 625, 803, 750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 625, 803, 750 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 625, 803, 750 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 625, 803, 750 is 1.

HCF(625, 803, 750) = 1

HCF of 625, 803, 750 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 625, 803, 750 is 1.

Highest Common Factor of 625,803,750 using Euclid's algorithm

Highest Common Factor of 625,803,750 is 1

Step 1: Since 803 > 625, we apply the division lemma to 803 and 625, to get

803 = 625 x 1 + 178

Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 178 and 625, to get

625 = 178 x 3 + 91

Step 3: We consider the new divisor 178 and the new remainder 91, and apply the division lemma to get

178 = 91 x 1 + 87

We consider the new divisor 91 and the new remainder 87,and apply the division lemma to get

91 = 87 x 1 + 4

We consider the new divisor 87 and the new remainder 4,and apply the division lemma to get

87 = 4 x 21 + 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 625 and 803 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(87,4) = HCF(91,87) = HCF(178,91) = HCF(625,178) = HCF(803,625) .


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

Step 1: Since 750 > 1, we apply the division lemma to 750 and 1, to get

750 = 1 x 750 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 750 is 1

Notice that 1 = HCF(750,1) .

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Frequently Asked Questions on HCF of 625, 803, 750 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 625, 803, 750?

Answer: HCF of 625, 803, 750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 625, 803, 750 using Euclid's Algorithm?

Answer: For arbitrary numbers 625, 803, 750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.