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 490, 6134, 7650 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 6134, 7650 is 2 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 490, 6134, 7650 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 490, 6134, 7650 is 2.
HCF(490, 6134, 7650) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 490, 6134, 7650 is 2.
Step 1: Since 6134 > 490, we apply the division lemma to 6134 and 490, to get
6134 = 490 x 12 + 254
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 254 and 490, to get
490 = 254 x 1 + 236
Step 3: We consider the new divisor 254 and the new remainder 236, and apply the division lemma to get
254 = 236 x 1 + 18
We consider the new divisor 236 and the new remainder 18,and apply the division lemma to get
236 = 18 x 13 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 6134 is 2
Notice that 2 = HCF(18,2) = HCF(236,18) = HCF(254,236) = HCF(490,254) = HCF(6134,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7650 > 2, we apply the division lemma to 7650 and 2, to get
7650 = 2 x 3825 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 7650 is 2
Notice that 2 = HCF(7650,2) .
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 490, 6134, 7650?
Answer: HCF of 490, 6134, 7650 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 6134, 7650 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 6134, 7650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.