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 602, 48860 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 48860 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 602, 48860 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 602, 48860 is 14.
HCF(602, 48860) = 14
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 48860 is 14.
Step 1: Since 48860 > 602, we apply the division lemma to 48860 and 602, to get
48860 = 602 x 81 + 98
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 98 and 602, to get
602 = 98 x 6 + 14
Step 3: We consider the new divisor 98 and the new remainder 14, and apply the division lemma to get
98 = 14 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 602 and 48860 is 14
Notice that 14 = HCF(98,14) = HCF(602,98) = HCF(48860,602) .
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 602, 48860?
Answer: HCF of 602, 48860 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 48860 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 48860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.