Highest Common Factor of 1522, 3915, 78100 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 1522, 3915, 78100 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1522, 3915, 78100 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 1522, 3915, 78100 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 1522, 3915, 78100 is 1.

HCF(1522, 3915, 78100) = 1

HCF of 1522, 3915, 78100 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 1522, 3915, 78100 is 1.

Highest Common Factor of 1522,3915,78100 using Euclid's algorithm

Highest Common Factor of 1522,3915,78100 is 1

Step 1: Since 3915 > 1522, we apply the division lemma to 3915 and 1522, to get

3915 = 1522 x 2 + 871

Step 2: Since the reminder 1522 ≠ 0, we apply division lemma to 871 and 1522, to get

1522 = 871 x 1 + 651

Step 3: We consider the new divisor 871 and the new remainder 651, and apply the division lemma to get

871 = 651 x 1 + 220

We consider the new divisor 651 and the new remainder 220,and apply the division lemma to get

651 = 220 x 2 + 211

We consider the new divisor 220 and the new remainder 211,and apply the division lemma to get

220 = 211 x 1 + 9

We consider the new divisor 211 and the new remainder 9,and apply the division lemma to get

211 = 9 x 23 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1522 and 3915 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(211,9) = HCF(220,211) = HCF(651,220) = HCF(871,651) = HCF(1522,871) = HCF(3915,1522) .

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

Step 1: Since 78100 > 1, we apply the division lemma to 78100 and 1, to get

78100 = 1 x 78100 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78100 is 1

Notice that 1 = HCF(78100,1) .

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Frequently Asked Questions on HCF of 1522, 3915, 78100 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 1522, 3915, 78100?

Answer: HCF of 1522, 3915, 78100 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1522, 3915, 78100 using Euclid's Algorithm?

Answer: For arbitrary numbers 1522, 3915, 78100 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.