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 1508, 3460 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1508, 3460 is 4 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 1508, 3460 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 1508, 3460 is 4.
HCF(1508, 3460) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1508, 3460 is 4.
Step 1: Since 3460 > 1508, we apply the division lemma to 3460 and 1508, to get
3460 = 1508 x 2 + 444
Step 2: Since the reminder 1508 ≠ 0, we apply division lemma to 444 and 1508, to get
1508 = 444 x 3 + 176
Step 3: We consider the new divisor 444 and the new remainder 176, and apply the division lemma to get
444 = 176 x 2 + 92
We consider the new divisor 176 and the new remainder 92,and apply the division lemma to get
176 = 92 x 1 + 84
We consider the new divisor 92 and the new remainder 84,and apply the division lemma to get
92 = 84 x 1 + 8
We consider the new divisor 84 and the new remainder 8,and apply the division lemma to get
84 = 8 x 10 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1508 and 3460 is 4
Notice that 4 = HCF(8,4) = HCF(84,8) = HCF(92,84) = HCF(176,92) = HCF(444,176) = HCF(1508,444) = HCF(3460,1508) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1508, 3460?
Answer: HCF of 1508, 3460 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1508, 3460 using Euclid's Algorithm?
Answer: For arbitrary numbers 1508, 3460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.