Highest Common Factor of 6760, 7807, 24414 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 6760, 7807, 24414 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6760, 7807, 24414 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 6760, 7807, 24414 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 6760, 7807, 24414 is 1.

HCF(6760, 7807, 24414) = 1

HCF of 6760, 7807, 24414 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 6760, 7807, 24414 is 1.

Highest Common Factor of 6760,7807,24414 using Euclid's algorithm

Highest Common Factor of 6760,7807,24414 is 1

Step 1: Since 7807 > 6760, we apply the division lemma to 7807 and 6760, to get

7807 = 6760 x 1 + 1047

Step 2: Since the reminder 6760 ≠ 0, we apply division lemma to 1047 and 6760, to get

6760 = 1047 x 6 + 478

Step 3: We consider the new divisor 1047 and the new remainder 478, and apply the division lemma to get

1047 = 478 x 2 + 91

We consider the new divisor 478 and the new remainder 91,and apply the division lemma to get

478 = 91 x 5 + 23

We consider the new divisor 91 and the new remainder 23,and apply the division lemma to get

91 = 23 x 3 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6760 and 7807 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(91,23) = HCF(478,91) = HCF(1047,478) = HCF(6760,1047) = HCF(7807,6760) .

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

Step 1: Since 24414 > 1, we apply the division lemma to 24414 and 1, to get

24414 = 1 x 24414 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24414 is 1

Notice that 1 = HCF(24414,1) .

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Frequently Asked Questions on HCF of 6760, 7807, 24414 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 6760, 7807, 24414?

Answer: HCF of 6760, 7807, 24414 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6760, 7807, 24414 using Euclid's Algorithm?

Answer: For arbitrary numbers 6760, 7807, 24414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.