Highest Common Factor of 553, 851, 251, 634 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 553, 851, 251, 634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 553, 851, 251, 634 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 553, 851, 251, 634 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 553, 851, 251, 634 is 1.

HCF(553, 851, 251, 634) = 1

HCF of 553, 851, 251, 634 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 553, 851, 251, 634 is 1.

Highest Common Factor of 553,851,251,634 using Euclid's algorithm

Highest Common Factor of 553,851,251,634 is 1

Step 1: Since 851 > 553, we apply the division lemma to 851 and 553, to get

851 = 553 x 1 + 298

Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 298 and 553, to get

553 = 298 x 1 + 255

Step 3: We consider the new divisor 298 and the new remainder 255, and apply the division lemma to get

298 = 255 x 1 + 43

We consider the new divisor 255 and the new remainder 43,and apply the division lemma to get

255 = 43 x 5 + 40

We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get

43 = 40 x 1 + 3

We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get

40 = 3 x 13 + 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 553 and 851 is 1

Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(255,43) = HCF(298,255) = HCF(553,298) = HCF(851,553) .

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

Step 1: Since 251 > 1, we apply the division lemma to 251 and 1, to get

251 = 1 x 251 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 251 is 1

Notice that 1 = HCF(251,1) .

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

Step 1: Since 634 > 1, we apply the division lemma to 634 and 1, to get

634 = 1 x 634 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 634 is 1

Notice that 1 = HCF(634,1) .

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Frequently Asked Questions on HCF of 553, 851, 251, 634 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 553, 851, 251, 634?

Answer: HCF of 553, 851, 251, 634 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 553, 851, 251, 634 using Euclid's Algorithm?

Answer: For arbitrary numbers 553, 851, 251, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.