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 3507, 8239 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3507, 8239 is 7 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 3507, 8239 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 3507, 8239 is 7.
HCF(3507, 8239) = 7
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3507, 8239 is 7.
Step 1: Since 8239 > 3507, we apply the division lemma to 8239 and 3507, to get
8239 = 3507 x 2 + 1225
Step 2: Since the reminder 3507 ≠ 0, we apply division lemma to 1225 and 3507, to get
3507 = 1225 x 2 + 1057
Step 3: We consider the new divisor 1225 and the new remainder 1057, and apply the division lemma to get
1225 = 1057 x 1 + 168
We consider the new divisor 1057 and the new remainder 168,and apply the division lemma to get
1057 = 168 x 6 + 49
We consider the new divisor 168 and the new remainder 49,and apply the division lemma to get
168 = 49 x 3 + 21
We consider the new divisor 49 and the new remainder 21,and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3507 and 8239 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(168,49) = HCF(1057,168) = HCF(1225,1057) = HCF(3507,1225) = HCF(8239,3507) .
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 3507, 8239?
Answer: HCF of 3507, 8239 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3507, 8239 using Euclid's Algorithm?
Answer: For arbitrary numbers 3507, 8239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.