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 7025, 8739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7025, 8739 is 1 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 7025, 8739 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 7025, 8739 is 1.
HCF(7025, 8739) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7025, 8739 is 1.
Step 1: Since 8739 > 7025, we apply the division lemma to 8739 and 7025, to get
8739 = 7025 x 1 + 1714
Step 2: Since the reminder 7025 ≠ 0, we apply division lemma to 1714 and 7025, to get
7025 = 1714 x 4 + 169
Step 3: We consider the new divisor 1714 and the new remainder 169, and apply the division lemma to get
1714 = 169 x 10 + 24
We consider the new divisor 169 and the new remainder 24,and apply the division lemma to get
169 = 24 x 7 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7025 and 8739 is 1
Notice that 1 = HCF(24,1) = HCF(169,24) = HCF(1714,169) = HCF(7025,1714) = HCF(8739,7025) .
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 7025, 8739?
Answer: HCF of 7025, 8739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7025, 8739 using Euclid's Algorithm?
Answer: For arbitrary numbers 7025, 8739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.