Highest Common Factor of 751, 456, 66, 297 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 751, 456, 66, 297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 456, 66, 297 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 751, 456, 66, 297 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 751, 456, 66, 297 is 1.

HCF(751, 456, 66, 297) = 1

HCF of 751, 456, 66, 297 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 751, 456, 66, 297 is 1.

Highest Common Factor of 751,456,66,297 using Euclid's algorithm

Highest Common Factor of 751,456,66,297 is 1

Step 1: Since 751 > 456, we apply the division lemma to 751 and 456, to get

751 = 456 x 1 + 295

Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 295 and 456, to get

456 = 295 x 1 + 161

Step 3: We consider the new divisor 295 and the new remainder 161, and apply the division lemma to get

295 = 161 x 1 + 134

We consider the new divisor 161 and the new remainder 134,and apply the division lemma to get

161 = 134 x 1 + 27

We consider the new divisor 134 and the new remainder 27,and apply the division lemma to get

134 = 27 x 4 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 456 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(134,27) = HCF(161,134) = HCF(295,161) = HCF(456,295) = HCF(751,456) .

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

Step 1: Since 66 > 1, we apply the division lemma to 66 and 1, to get

66 = 1 x 66 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66 is 1

Notice that 1 = HCF(66,1) .

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

Step 1: Since 297 > 1, we apply the division lemma to 297 and 1, to get

297 = 1 x 297 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 297 is 1

Notice that 1 = HCF(297,1) .

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Frequently Asked Questions on HCF of 751, 456, 66, 297 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 751, 456, 66, 297?

Answer: HCF of 751, 456, 66, 297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 456, 66, 297 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 456, 66, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.