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 867, 5939, 2708 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 5939, 2708 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 867, 5939, 2708 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 867, 5939, 2708 is 1.
HCF(867, 5939, 2708) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 5939, 2708 is 1.
Step 1: Since 5939 > 867, we apply the division lemma to 5939 and 867, to get
5939 = 867 x 6 + 737
Step 2: Since the reminder 867 ≠ 0, we apply division lemma to 737 and 867, to get
867 = 737 x 1 + 130
Step 3: We consider the new divisor 737 and the new remainder 130, and apply the division lemma to get
737 = 130 x 5 + 87
We consider the new divisor 130 and the new remainder 87,and apply the division lemma to get
130 = 87 x 1 + 43
We consider the new divisor 87 and the new remainder 43,and apply the division lemma to get
87 = 43 x 2 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 867 and 5939 is 1
Notice that 1 = HCF(43,1) = HCF(87,43) = HCF(130,87) = HCF(737,130) = HCF(867,737) = HCF(5939,867) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2708 > 1, we apply the division lemma to 2708 and 1, to get
2708 = 1 x 2708 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2708 is 1
Notice that 1 = HCF(2708,1) .
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 867, 5939, 2708?
Answer: HCF of 867, 5939, 2708 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 5939, 2708 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 5939, 2708 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.