Highest Common Factor of 948, 7110, 2793 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 948, 7110, 2793 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 7110, 2793 is 3 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 948, 7110, 2793 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 948, 7110, 2793 is 3.
HCF(948, 7110, 2793) = 3
HCF of 948, 7110, 2793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 948, 7110, 2793 is 3.
Highest Common Factor of 948,7110,2793 is 3
Step 1: Since 7110 > 948, we apply the division lemma to 7110 and 948, to get
7110 = 948 x 7 + 474
Step 2: Since the reminder 948 ≠ 0, we apply division lemma to 474 and 948, to get
948 = 474 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 474, the HCF of 948 and 7110 is 474
Notice that 474 = HCF(948,474) = HCF(7110,948) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2793 > 474, we apply the division lemma to 2793 and 474, to get
2793 = 474 x 5 + 423
Step 2: Since the reminder 474 ≠ 0, we apply division lemma to 423 and 474, to get
474 = 423 x 1 + 51
Step 3: We consider the new divisor 423 and the new remainder 51, and apply the division lemma to get
423 = 51 x 8 + 15
We consider the new divisor 51 and the new remainder 15,and apply the division lemma to get
51 = 15 x 3 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 474 and 2793 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(51,15) = HCF(423,51) = HCF(474,423) = HCF(2793,474) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 948, 7110, 2793 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 948, 7110, 2793?
Answer: HCF of 948, 7110, 2793 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 7110, 2793 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 7110, 2793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.