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 965, 8380 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 8380 is 5 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 965, 8380 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 965, 8380 is 5.
HCF(965, 8380) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 8380 is 5.
Step 1: Since 8380 > 965, we apply the division lemma to 8380 and 965, to get
8380 = 965 x 8 + 660
Step 2: Since the reminder 965 ≠ 0, we apply division lemma to 660 and 965, to get
965 = 660 x 1 + 305
Step 3: We consider the new divisor 660 and the new remainder 305, and apply the division lemma to get
660 = 305 x 2 + 50
We consider the new divisor 305 and the new remainder 50,and apply the division lemma to get
305 = 50 x 6 + 5
We consider the new divisor 50 and the new remainder 5,and apply the division lemma to get
50 = 5 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 965 and 8380 is 5
Notice that 5 = HCF(50,5) = HCF(305,50) = HCF(660,305) = HCF(965,660) = HCF(8380,965) .
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 965, 8380?
Answer: HCF of 965, 8380 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 8380 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 8380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.