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 6980, 9312 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6980, 9312 is 4 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 6980, 9312 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 6980, 9312 is 4.
HCF(6980, 9312) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6980, 9312 is 4.
Step 1: Since 9312 > 6980, we apply the division lemma to 9312 and 6980, to get
9312 = 6980 x 1 + 2332
Step 2: Since the reminder 6980 ≠ 0, we apply division lemma to 2332 and 6980, to get
6980 = 2332 x 2 + 2316
Step 3: We consider the new divisor 2332 and the new remainder 2316, and apply the division lemma to get
2332 = 2316 x 1 + 16
We consider the new divisor 2316 and the new remainder 16,and apply the division lemma to get
2316 = 16 x 144 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6980 and 9312 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(2316,16) = HCF(2332,2316) = HCF(6980,2332) = HCF(9312,6980) .
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 6980, 9312?
Answer: HCF of 6980, 9312 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6980, 9312 using Euclid's Algorithm?
Answer: For arbitrary numbers 6980, 9312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.