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 7135, 8291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7135, 8291 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 7135, 8291 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 7135, 8291 is 1.
HCF(7135, 8291) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7135, 8291 is 1.
Step 1: Since 8291 > 7135, we apply the division lemma to 8291 and 7135, to get
8291 = 7135 x 1 + 1156
Step 2: Since the reminder 7135 ≠ 0, we apply division lemma to 1156 and 7135, to get
7135 = 1156 x 6 + 199
Step 3: We consider the new divisor 1156 and the new remainder 199, and apply the division lemma to get
1156 = 199 x 5 + 161
We consider the new divisor 199 and the new remainder 161,and apply the division lemma to get
199 = 161 x 1 + 38
We consider the new divisor 161 and the new remainder 38,and apply the division lemma to get
161 = 38 x 4 + 9
We consider the new divisor 38 and the new remainder 9,and apply the division lemma to get
38 = 9 x 4 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7135 and 8291 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(38,9) = HCF(161,38) = HCF(199,161) = HCF(1156,199) = HCF(7135,1156) = HCF(8291,7135) .
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 7135, 8291?
Answer: HCF of 7135, 8291 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7135, 8291 using Euclid's Algorithm?
Answer: For arbitrary numbers 7135, 8291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.