Highest Common Factor of 7951, 5595 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 7951, 5595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7951, 5595 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 7951, 5595 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 7951, 5595 is 1.
HCF(7951, 5595) = 1
HCF of 7951, 5595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7951, 5595 is 1.
Highest Common Factor of 7951,5595 is 1
Step 1: Since 7951 > 5595, we apply the division lemma to 7951 and 5595, to get
7951 = 5595 x 1 + 2356
Step 2: Since the reminder 5595 ≠ 0, we apply division lemma to 2356 and 5595, to get
5595 = 2356 x 2 + 883
Step 3: We consider the new divisor 2356 and the new remainder 883, and apply the division lemma to get
2356 = 883 x 2 + 590
We consider the new divisor 883 and the new remainder 590,and apply the division lemma to get
883 = 590 x 1 + 293
We consider the new divisor 590 and the new remainder 293,and apply the division lemma to get
590 = 293 x 2 + 4
We consider the new divisor 293 and the new remainder 4,and apply the division lemma to get
293 = 4 x 73 + 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 7951 and 5595 is 1
Notice that 1 = HCF(4,1) = HCF(293,4) = HCF(590,293) = HCF(883,590) = HCF(2356,883) = HCF(5595,2356) = HCF(7951,5595) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7951, 5595 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 7951, 5595?
Answer: HCF of 7951, 5595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7951, 5595 using Euclid's Algorithm?
Answer: For arbitrary numbers 7951, 5595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.