Highest Common Factor of 352, 947, 126 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 352, 947, 126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 352, 947, 126 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 352, 947, 126 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 352, 947, 126 is 1.

HCF(352, 947, 126) = 1

HCF of 352, 947, 126 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 352, 947, 126 is 1.

Highest Common Factor of 352,947,126 using Euclid's algorithm

Highest Common Factor of 352,947,126 is 1

Step 1: Since 947 > 352, we apply the division lemma to 947 and 352, to get

947 = 352 x 2 + 243

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 243 and 352, to get

352 = 243 x 1 + 109

Step 3: We consider the new divisor 243 and the new remainder 109, and apply the division lemma to get

243 = 109 x 2 + 25

We consider the new divisor 109 and the new remainder 25,and apply the division lemma to get

109 = 25 x 4 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 352 and 947 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(109,25) = HCF(243,109) = HCF(352,243) = HCF(947,352) .

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

Step 1: Since 126 > 1, we apply the division lemma to 126 and 1, to get

126 = 1 x 126 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 126 is 1

Notice that 1 = HCF(126,1) .

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Frequently Asked Questions on HCF of 352, 947, 126 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 352, 947, 126?

Answer: HCF of 352, 947, 126 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 352, 947, 126 using Euclid's Algorithm?

Answer: For arbitrary numbers 352, 947, 126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.