Highest Common Factor of 6448, 3488 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 6448, 3488 i.e. 16 the largest integer that leaves a remainder zero for all numbers.

HCF of 6448, 3488 is 16 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 6448, 3488 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 6448, 3488 is 16.

HCF(6448, 3488) = 16

HCF of 6448, 3488 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 6448, 3488 is 16.

Highest Common Factor of 6448,3488 using Euclid's algorithm

Highest Common Factor of 6448,3488 is 16

Step 1: Since 6448 > 3488, we apply the division lemma to 6448 and 3488, to get

6448 = 3488 x 1 + 2960

Step 2: Since the reminder 3488 ≠ 0, we apply division lemma to 2960 and 3488, to get

3488 = 2960 x 1 + 528

Step 3: We consider the new divisor 2960 and the new remainder 528, and apply the division lemma to get

2960 = 528 x 5 + 320

We consider the new divisor 528 and the new remainder 320,and apply the division lemma to get

528 = 320 x 1 + 208

We consider the new divisor 320 and the new remainder 208,and apply the division lemma to get

320 = 208 x 1 + 112

We consider the new divisor 208 and the new remainder 112,and apply the division lemma to get

208 = 112 x 1 + 96

We consider the new divisor 112 and the new remainder 96,and apply the division lemma to get

112 = 96 x 1 + 16

We consider the new divisor 96 and the new remainder 16,and apply the division lemma to get

96 = 16 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 6448 and 3488 is 16

Notice that 16 = HCF(96,16) = HCF(112,96) = HCF(208,112) = HCF(320,208) = HCF(528,320) = HCF(2960,528) = HCF(3488,2960) = HCF(6448,3488) .

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Frequently Asked Questions on HCF of 6448, 3488 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 6448, 3488?

Answer: HCF of 6448, 3488 is 16 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6448, 3488 using Euclid's Algorithm?

Answer: For arbitrary numbers 6448, 3488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.