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 863, 3302, 1370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 3302, 1370 is 1 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 863, 3302, 1370 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 863, 3302, 1370 is 1.
HCF(863, 3302, 1370) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 863, 3302, 1370 is 1.
Step 1: Since 3302 > 863, we apply the division lemma to 3302 and 863, to get
3302 = 863 x 3 + 713
Step 2: Since the reminder 863 ≠ 0, we apply division lemma to 713 and 863, to get
863 = 713 x 1 + 150
Step 3: We consider the new divisor 713 and the new remainder 150, and apply the division lemma to get
713 = 150 x 4 + 113
We consider the new divisor 150 and the new remainder 113,and apply the division lemma to get
150 = 113 x 1 + 37
We consider the new divisor 113 and the new remainder 37,and apply the division lemma to get
113 = 37 x 3 + 2
We consider the new divisor 37 and the new remainder 2,and apply the division lemma to get
37 = 2 x 18 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 3302 is 1
Notice that 1 = HCF(2,1) = HCF(37,2) = HCF(113,37) = HCF(150,113) = HCF(713,150) = HCF(863,713) = HCF(3302,863) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1370 > 1, we apply the division lemma to 1370 and 1, to get
1370 = 1 x 1370 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1370 is 1
Notice that 1 = HCF(1370,1) .
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 863, 3302, 1370?
Answer: HCF of 863, 3302, 1370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 3302, 1370 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 3302, 1370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.