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 5274, 7157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5274, 7157 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 5274, 7157 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 5274, 7157 is 1.
HCF(5274, 7157) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5274, 7157 is 1.
Step 1: Since 7157 > 5274, we apply the division lemma to 7157 and 5274, to get
7157 = 5274 x 1 + 1883
Step 2: Since the reminder 5274 ≠ 0, we apply division lemma to 1883 and 5274, to get
5274 = 1883 x 2 + 1508
Step 3: We consider the new divisor 1883 and the new remainder 1508, and apply the division lemma to get
1883 = 1508 x 1 + 375
We consider the new divisor 1508 and the new remainder 375,and apply the division lemma to get
1508 = 375 x 4 + 8
We consider the new divisor 375 and the new remainder 8,and apply the division lemma to get
375 = 8 x 46 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5274 and 7157 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(375,8) = HCF(1508,375) = HCF(1883,1508) = HCF(5274,1883) = HCF(7157,5274) .
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 5274, 7157?
Answer: HCF of 5274, 7157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5274, 7157 using Euclid's Algorithm?
Answer: For arbitrary numbers 5274, 7157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.