Highest Common Factor of 3175, 6902 using Euclid's algorithm
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 3175, 6902 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3175, 6902 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 3175, 6902 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 3175, 6902 is 1.
HCF(3175, 6902) = 1
HCF of 3175, 6902 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3175, 6902 is 1.
Highest Common Factor of 3175,6902 is 1
Step 1: Since 6902 > 3175, we apply the division lemma to 6902 and 3175, to get
6902 = 3175 x 2 + 552
Step 2: Since the reminder 3175 ≠ 0, we apply division lemma to 552 and 3175, to get
3175 = 552 x 5 + 415
Step 3: We consider the new divisor 552 and the new remainder 415, and apply the division lemma to get
552 = 415 x 1 + 137
We consider the new divisor 415 and the new remainder 137,and apply the division lemma to get
415 = 137 x 3 + 4
We consider the new divisor 137 and the new remainder 4,and apply the division lemma to get
137 = 4 x 34 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3175 and 6902 is 1
Notice that 1 = HCF(4,1) = HCF(137,4) = HCF(415,137) = HCF(552,415) = HCF(3175,552) = HCF(6902,3175) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3175, 6902 using Euclid's Algorithm
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 3175, 6902?
Answer: HCF of 3175, 6902 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3175, 6902 using Euclid's Algorithm?
Answer: For arbitrary numbers 3175, 6902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.