Highest Common Factor of 871, 985, 940, 295 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 871, 985, 940, 295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 985, 940, 295 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 871, 985, 940, 295 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 871, 985, 940, 295 is 1.

HCF(871, 985, 940, 295) = 1

HCF of 871, 985, 940, 295 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 871, 985, 940, 295 is 1.

Highest Common Factor of 871,985,940,295 using Euclid's algorithm

Highest Common Factor of 871,985,940,295 is 1

Step 1: Since 985 > 871, we apply the division lemma to 985 and 871, to get

985 = 871 x 1 + 114

Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 114 and 871, to get

871 = 114 x 7 + 73

Step 3: We consider the new divisor 114 and the new remainder 73, and apply the division lemma to get

114 = 73 x 1 + 41

We consider the new divisor 73 and the new remainder 41,and apply the division lemma to get

73 = 41 x 1 + 32

We consider the new divisor 41 and the new remainder 32,and apply the division lemma to get

41 = 32 x 1 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 871 and 985 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(41,32) = HCF(73,41) = HCF(114,73) = HCF(871,114) = HCF(985,871) .

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

Step 1: Since 940 > 1, we apply the division lemma to 940 and 1, to get

940 = 1 x 940 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 940 is 1

Notice that 1 = HCF(940,1) .

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

Step 1: Since 295 > 1, we apply the division lemma to 295 and 1, to get

295 = 1 x 295 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 295 is 1

Notice that 1 = HCF(295,1) .

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Frequently Asked Questions on HCF of 871, 985, 940, 295 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 871, 985, 940, 295?

Answer: HCF of 871, 985, 940, 295 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 985, 940, 295 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 985, 940, 295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.