Highest Common Factor of 235, 852, 988 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 235, 852, 988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 235, 852, 988 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 235, 852, 988 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 235, 852, 988 is 1.

HCF(235, 852, 988) = 1

HCF of 235, 852, 988 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 235, 852, 988 is 1.

Highest Common Factor of 235,852,988 using Euclid's algorithm

Highest Common Factor of 235,852,988 is 1

Step 1: Since 852 > 235, we apply the division lemma to 852 and 235, to get

852 = 235 x 3 + 147

Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 147 and 235, to get

235 = 147 x 1 + 88

Step 3: We consider the new divisor 147 and the new remainder 88, and apply the division lemma to get

147 = 88 x 1 + 59

We consider the new divisor 88 and the new remainder 59,and apply the division lemma to get

88 = 59 x 1 + 29

We consider the new divisor 59 and the new remainder 29,and apply the division lemma to get

59 = 29 x 2 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 235 and 852 is 1

Notice that 1 = HCF(29,1) = HCF(59,29) = HCF(88,59) = HCF(147,88) = HCF(235,147) = HCF(852,235) .

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

Step 1: Since 988 > 1, we apply the division lemma to 988 and 1, to get

988 = 1 x 988 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 988 is 1

Notice that 1 = HCF(988,1) .

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Frequently Asked Questions on HCF of 235, 852, 988 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 235, 852, 988?

Answer: HCF of 235, 852, 988 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 235, 852, 988 using Euclid's Algorithm?

Answer: For arbitrary numbers 235, 852, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.