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 910, 518, 924 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 518, 924 is 14 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 910, 518, 924 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 910, 518, 924 is 14.
HCF(910, 518, 924) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 518, 924 is 14.
Step 1: Since 910 > 518, we apply the division lemma to 910 and 518, to get
910 = 518 x 1 + 392
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 392 and 518, to get
518 = 392 x 1 + 126
Step 3: We consider the new divisor 392 and the new remainder 126, and apply the division lemma to get
392 = 126 x 3 + 14
We consider the new divisor 126 and the new remainder 14, and apply the division lemma to get
126 = 14 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 910 and 518 is 14
Notice that 14 = HCF(126,14) = HCF(392,126) = HCF(518,392) = HCF(910,518) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 924 > 14, we apply the division lemma to 924 and 14, to get
924 = 14 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 14 and 924 is 14
Notice that 14 = HCF(924,14) .
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 910, 518, 924?
Answer: HCF of 910, 518, 924 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 518, 924 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 518, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.