Highest Common Factor of 951, 753, 512, 740 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 951, 753, 512, 740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 951, 753, 512, 740 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 951, 753, 512, 740 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 951, 753, 512, 740 is 1.

HCF(951, 753, 512, 740) = 1

HCF of 951, 753, 512, 740 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 951, 753, 512, 740 is 1.

Highest Common Factor of 951,753,512,740 using Euclid's algorithm

Highest Common Factor of 951,753,512,740 is 1

Step 1: Since 951 > 753, we apply the division lemma to 951 and 753, to get

951 = 753 x 1 + 198

Step 2: Since the reminder 753 ≠ 0, we apply division lemma to 198 and 753, to get

753 = 198 x 3 + 159

Step 3: We consider the new divisor 198 and the new remainder 159, and apply the division lemma to get

198 = 159 x 1 + 39

We consider the new divisor 159 and the new remainder 39,and apply the division lemma to get

159 = 39 x 4 + 3

We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get

39 = 3 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 951 and 753 is 3

Notice that 3 = HCF(39,3) = HCF(159,39) = HCF(198,159) = HCF(753,198) = HCF(951,753) .

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

Step 1: Since 512 > 3, we apply the division lemma to 512 and 3, to get

512 = 3 x 170 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 512 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(512,3) .

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

Step 1: Since 740 > 1, we apply the division lemma to 740 and 1, to get

740 = 1 x 740 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 740 is 1

Notice that 1 = HCF(740,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 951, 753, 512, 740 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 951, 753, 512, 740?

Answer: HCF of 951, 753, 512, 740 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 951, 753, 512, 740 using Euclid's Algorithm?

Answer: For arbitrary numbers 951, 753, 512, 740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.