Highest Common Factor of 480, 776, 759 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 480, 776, 759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 480, 776, 759 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 480, 776, 759 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 480, 776, 759 is 1.

HCF(480, 776, 759) = 1

HCF of 480, 776, 759 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 480, 776, 759 is 1.

Highest Common Factor of 480,776,759 using Euclid's algorithm

Highest Common Factor of 480,776,759 is 1

Step 1: Since 776 > 480, we apply the division lemma to 776 and 480, to get

776 = 480 x 1 + 296

Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 296 and 480, to get

480 = 296 x 1 + 184

Step 3: We consider the new divisor 296 and the new remainder 184, and apply the division lemma to get

296 = 184 x 1 + 112

We consider the new divisor 184 and the new remainder 112,and apply the division lemma to get

184 = 112 x 1 + 72

We consider the new divisor 112 and the new remainder 72,and apply the division lemma to get

112 = 72 x 1 + 40

We consider the new divisor 72 and the new remainder 40,and apply the division lemma to get

72 = 40 x 1 + 32

We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get

40 = 32 x 1 + 8

We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get

32 = 8 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 480 and 776 is 8

Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(72,40) = HCF(112,72) = HCF(184,112) = HCF(296,184) = HCF(480,296) = HCF(776,480) .


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

Step 1: Since 759 > 8, we apply the division lemma to 759 and 8, to get

759 = 8 x 94 + 7

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 7 and 8, to get

8 = 7 x 1 + 1

Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 759 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(759,8) .

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Frequently Asked Questions on HCF of 480, 776, 759 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 480, 776, 759?

Answer: HCF of 480, 776, 759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 480, 776, 759 using Euclid's Algorithm?

Answer: For arbitrary numbers 480, 776, 759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.