Highest Common Factor of 7192, 5245 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 7192, 5245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7192, 5245 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 7192, 5245 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 7192, 5245 is 1.

HCF(7192, 5245) = 1

HCF of 7192, 5245 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 7192, 5245 is 1.

Highest Common Factor of 7192,5245 using Euclid's algorithm

Highest Common Factor of 7192,5245 is 1

Step 1: Since 7192 > 5245, we apply the division lemma to 7192 and 5245, to get

7192 = 5245 x 1 + 1947

Step 2: Since the reminder 5245 ≠ 0, we apply division lemma to 1947 and 5245, to get

5245 = 1947 x 2 + 1351

Step 3: We consider the new divisor 1947 and the new remainder 1351, and apply the division lemma to get

1947 = 1351 x 1 + 596

We consider the new divisor 1351 and the new remainder 596,and apply the division lemma to get

1351 = 596 x 2 + 159

We consider the new divisor 596 and the new remainder 159,and apply the division lemma to get

596 = 159 x 3 + 119

We consider the new divisor 159 and the new remainder 119,and apply the division lemma to get

159 = 119 x 1 + 40

We consider the new divisor 119 and the new remainder 40,and apply the division lemma to get

119 = 40 x 2 + 39

We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get

40 = 39 x 1 + 1

We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get

39 = 1 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7192 and 5245 is 1

Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(119,40) = HCF(159,119) = HCF(596,159) = HCF(1351,596) = HCF(1947,1351) = HCF(5245,1947) = HCF(7192,5245) .

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Frequently Asked Questions on HCF of 7192, 5245 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 7192, 5245?

Answer: HCF of 7192, 5245 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7192, 5245 using Euclid's Algorithm?

Answer: For arbitrary numbers 7192, 5245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.