Highest Common Factor of 4288, 3766, 90624 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 4288, 3766, 90624 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4288, 3766, 90624 is 2 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 4288, 3766, 90624 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 4288, 3766, 90624 is 2.

HCF(4288, 3766, 90624) = 2

HCF of 4288, 3766, 90624 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 4288, 3766, 90624 is 2.

Highest Common Factor of 4288,3766,90624 using Euclid's algorithm

Highest Common Factor of 4288,3766,90624 is 2

Step 1: Since 4288 > 3766, we apply the division lemma to 4288 and 3766, to get

4288 = 3766 x 1 + 522

Step 2: Since the reminder 3766 ≠ 0, we apply division lemma to 522 and 3766, to get

3766 = 522 x 7 + 112

Step 3: We consider the new divisor 522 and the new remainder 112, and apply the division lemma to get

522 = 112 x 4 + 74

We consider the new divisor 112 and the new remainder 74,and apply the division lemma to get

112 = 74 x 1 + 38

We consider the new divisor 74 and the new remainder 38,and apply the division lemma to get

74 = 38 x 1 + 36

We consider the new divisor 38 and the new remainder 36,and apply the division lemma to get

38 = 36 x 1 + 2

We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get

36 = 2 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4288 and 3766 is 2

Notice that 2 = HCF(36,2) = HCF(38,36) = HCF(74,38) = HCF(112,74) = HCF(522,112) = HCF(3766,522) = HCF(4288,3766) .

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

Step 1: Since 90624 > 2, we apply the division lemma to 90624 and 2, to get

90624 = 2 x 45312 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 90624 is 2

Notice that 2 = HCF(90624,2) .

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Frequently Asked Questions on HCF of 4288, 3766, 90624 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 4288, 3766, 90624?

Answer: HCF of 4288, 3766, 90624 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4288, 3766, 90624 using Euclid's Algorithm?

Answer: For arbitrary numbers 4288, 3766, 90624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.