Highest Common Factor of 278, 796 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 278, 796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 278, 796 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 278, 796 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 278, 796 is 2.
HCF(278, 796) = 2
HCF of 278, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 278, 796 is 2.
Highest Common Factor of 278,796 is 2
Step 1: Since 796 > 278, we apply the division lemma to 796 and 278, to get
796 = 278 x 2 + 240
Step 2: Since the reminder 278 ≠ 0, we apply division lemma to 240 and 278, to get
278 = 240 x 1 + 38
Step 3: We consider the new divisor 240 and the new remainder 38, and apply the division lemma to get
240 = 38 x 6 + 12
We consider the new divisor 38 and the new remainder 12,and apply the division lemma to get
38 = 12 x 3 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 278 and 796 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(240,38) = HCF(278,240) = HCF(796,278) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 278, 796 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 278, 796?
Answer: HCF of 278, 796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 278, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 278, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.