Highest Common Factor of 948, 1274 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, 1274 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 1274 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 948, 1274 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, 1274 is 2.
HCF(948, 1274) = 2
HCF of 948, 1274 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, 1274 is 2.
Highest Common Factor of 948,1274 is 2
Step 1: Since 1274 > 948, we apply the division lemma to 1274 and 948, to get
1274 = 948 x 1 + 326
Step 2: Since the reminder 948 ≠ 0, we apply division lemma to 326 and 948, to get
948 = 326 x 2 + 296
Step 3: We consider the new divisor 326 and the new remainder 296, and apply the division lemma to get
326 = 296 x 1 + 30
We consider the new divisor 296 and the new remainder 30,and apply the division lemma to get
296 = 30 x 9 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 948 and 1274 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(296,30) = HCF(326,296) = HCF(948,326) = HCF(1274,948) .
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, 1274 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, 1274?
Answer: HCF of 948, 1274 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 1274 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 1274 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.