Highest Common Factor of 373, 948, 824, 619 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 373, 948, 824, 619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 373, 948, 824, 619 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 373, 948, 824, 619 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 373, 948, 824, 619 is 1.

HCF(373, 948, 824, 619) = 1

HCF of 373, 948, 824, 619 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 373, 948, 824, 619 is 1.

Highest Common Factor of 373,948,824,619 using Euclid's algorithm

Highest Common Factor of 373,948,824,619 is 1

Step 1: Since 948 > 373, we apply the division lemma to 948 and 373, to get

948 = 373 x 2 + 202

Step 2: Since the reminder 373 ≠ 0, we apply division lemma to 202 and 373, to get

373 = 202 x 1 + 171

Step 3: We consider the new divisor 202 and the new remainder 171, and apply the division lemma to get

202 = 171 x 1 + 31

We consider the new divisor 171 and the new remainder 31,and apply the division lemma to get

171 = 31 x 5 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 373 and 948 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(171,31) = HCF(202,171) = HCF(373,202) = HCF(948,373) .

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

Step 1: Since 824 > 1, we apply the division lemma to 824 and 1, to get

824 = 1 x 824 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 824 is 1

Notice that 1 = HCF(824,1) .

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

Step 1: Since 619 > 1, we apply the division lemma to 619 and 1, to get

619 = 1 x 619 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 619 is 1

Notice that 1 = HCF(619,1) .

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Frequently Asked Questions on HCF of 373, 948, 824, 619 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 373, 948, 824, 619?

Answer: HCF of 373, 948, 824, 619 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 373, 948, 824, 619 using Euclid's Algorithm?

Answer: For arbitrary numbers 373, 948, 824, 619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.