Highest Common Factor of 9056, 7135 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 9056, 7135 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9056, 7135 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 9056, 7135 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 9056, 7135 is 1.
HCF(9056, 7135) = 1
HCF of 9056, 7135 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9056, 7135 is 1.
Highest Common Factor of 9056,7135 is 1
Step 1: Since 9056 > 7135, we apply the division lemma to 9056 and 7135, to get
9056 = 7135 x 1 + 1921
Step 2: Since the reminder 7135 ≠ 0, we apply division lemma to 1921 and 7135, to get
7135 = 1921 x 3 + 1372
Step 3: We consider the new divisor 1921 and the new remainder 1372, and apply the division lemma to get
1921 = 1372 x 1 + 549
We consider the new divisor 1372 and the new remainder 549,and apply the division lemma to get
1372 = 549 x 2 + 274
We consider the new divisor 549 and the new remainder 274,and apply the division lemma to get
549 = 274 x 2 + 1
We consider the new divisor 274 and the new remainder 1,and apply the division lemma to get
274 = 1 x 274 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9056 and 7135 is 1
Notice that 1 = HCF(274,1) = HCF(549,274) = HCF(1372,549) = HCF(1921,1372) = HCF(7135,1921) = HCF(9056,7135) .
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Frequently Asked Questions on HCF of 9056, 7135 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 9056, 7135?
Answer: HCF of 9056, 7135 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9056, 7135 using Euclid's Algorithm?
Answer: For arbitrary numbers 9056, 7135 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
