Highest Common Factor of 295, 472, 907 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 295, 472, 907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 295, 472, 907 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 295, 472, 907 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 295, 472, 907 is 1.

HCF(295, 472, 907) = 1

HCF of 295, 472, 907 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 295, 472, 907 is 1.

Highest Common Factor of 295,472,907 using Euclid's algorithm

Highest Common Factor of 295,472,907 is 1

Step 1: Since 472 > 295, we apply the division lemma to 472 and 295, to get

472 = 295 x 1 + 177

Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 177 and 295, to get

295 = 177 x 1 + 118

Step 3: We consider the new divisor 177 and the new remainder 118, and apply the division lemma to get

177 = 118 x 1 + 59

We consider the new divisor 118 and the new remainder 59, and apply the division lemma to get

118 = 59 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 295 and 472 is 59

Notice that 59 = HCF(118,59) = HCF(177,118) = HCF(295,177) = HCF(472,295) .

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

Step 1: Since 907 > 59, we apply the division lemma to 907 and 59, to get

907 = 59 x 15 + 22

Step 2: Since the reminder 59 ≠ 0, we apply division lemma to 22 and 59, to get

59 = 22 x 2 + 15

Step 3: We consider the new divisor 22 and the new remainder 15, and apply the division lemma to get

22 = 15 x 1 + 7

We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get

15 = 7 x 2 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 59 and 907 is 1

Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(59,22) = HCF(907,59) .

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Frequently Asked Questions on HCF of 295, 472, 907 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 295, 472, 907?

Answer: HCF of 295, 472, 907 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 295, 472, 907 using Euclid's Algorithm?

Answer: For arbitrary numbers 295, 472, 907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.