Highest Common Factor of 670, 926, 253, 694 using Euclid's algorithm

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

Highest common factor (HCF) of 670, 926, 253, 694 is 1.

Step 1: Since 926 > 670, we apply the division lemma to 926 and 670, to get

926 = 670 x 1 + 256

Step 2: Since the reminder 670 ≠ 0, we apply division lemma to 256 and 670, to get

670 = 256 x 2 + 158

Step 3: We consider the new divisor 256 and the new remainder 158, and apply the division lemma to get

256 = 158 x 1 + 98

We consider the new divisor 158 and the new remainder 98,and apply the division lemma to get

158 = 98 x 1 + 60

We consider the new divisor 98 and the new remainder 60,and apply the division lemma to get

98 = 60 x 1 + 38

We consider the new divisor 60 and the new remainder 38,and apply the division lemma to get

60 = 38 x 1 + 22

We consider the new divisor 38 and the new remainder 22,and apply the division lemma to get

38 = 22 x 1 + 16

We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get

22 = 16 x 1 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 670 and 926 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(38,22) = HCF(60,38) = HCF(98,60) = HCF(158,98) = HCF(256,158) = HCF(670,256) = HCF(926,670) .

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

Step 1: Since 253 > 2, we apply the division lemma to 253 and 2, to get

253 = 2 x 126 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 253 is 1

Notice that 1 = HCF(2,1) = HCF(253,2) .

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

Step 1: Since 694 > 1, we apply the division lemma to 694 and 1, to get

694 = 1 x 694 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 694 is 1

Notice that 1 = HCF(694,1) .

Here are some samples of HCF using Euclid's Algorithm calculations.

• HCF of 743, 983, 913, 142
• HCF of 227, 481, 873, 752
• HCF of 595, 590, 743, 479
• HCF of 141, 147, 133, 723
• HCF of 842, 111, 314, 441

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 670, 926, 253, 694?

Answer: HCF of 670, 926, 253, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 670, 926, 253, 694 using Euclid's Algorithm?

Answer: For arbitrary numbers 670, 926, 253, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.