Highest Common Factor of 7948, 6607, 35434 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 7948, 6607, 35434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7948, 6607, 35434 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 7948, 6607, 35434 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 7948, 6607, 35434 is 1.

HCF(7948, 6607, 35434) = 1

HCF of 7948, 6607, 35434 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 7948, 6607, 35434 is 1.

Highest Common Factor of 7948,6607,35434 using Euclid's algorithm

Highest Common Factor of 7948,6607,35434 is 1

Step 1: Since 7948 > 6607, we apply the division lemma to 7948 and 6607, to get

7948 = 6607 x 1 + 1341

Step 2: Since the reminder 6607 ≠ 0, we apply division lemma to 1341 and 6607, to get

6607 = 1341 x 4 + 1243

Step 3: We consider the new divisor 1341 and the new remainder 1243, and apply the division lemma to get

1341 = 1243 x 1 + 98

We consider the new divisor 1243 and the new remainder 98,and apply the division lemma to get

1243 = 98 x 12 + 67

We consider the new divisor 98 and the new remainder 67,and apply the division lemma to get

98 = 67 x 1 + 31

We consider the new divisor 67 and the new remainder 31,and apply the division lemma to get

67 = 31 x 2 + 5

We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get

31 = 5 x 6 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7948 and 6607 is 1

Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(67,31) = HCF(98,67) = HCF(1243,98) = HCF(1341,1243) = HCF(6607,1341) = HCF(7948,6607) .

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

Step 1: Since 35434 > 1, we apply the division lemma to 35434 and 1, to get

35434 = 1 x 35434 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35434 is 1

Notice that 1 = HCF(35434,1) .

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Frequently Asked Questions on HCF of 7948, 6607, 35434 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 7948, 6607, 35434?

Answer: HCF of 7948, 6607, 35434 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7948, 6607, 35434 using Euclid's Algorithm?

Answer: For arbitrary numbers 7948, 6607, 35434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.