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 980, 6202 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 6202 is 14 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 980, 6202 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 980, 6202 is 14.
HCF(980, 6202) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 6202 is 14.
Step 1: Since 6202 > 980, we apply the division lemma to 6202 and 980, to get
6202 = 980 x 6 + 322
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 322 and 980, to get
980 = 322 x 3 + 14
Step 3: We consider the new divisor 322 and the new remainder 14, and apply the division lemma to get
322 = 14 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 980 and 6202 is 14
Notice that 14 = HCF(322,14) = HCF(980,322) = HCF(6202,980) .
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 980, 6202?
Answer: HCF of 980, 6202 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 6202 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 6202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.