Highest Common Factor of 5150, 7758 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 5150, 7758 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5150, 7758 is 2 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 5150, 7758 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 5150, 7758 is 2.
HCF(5150, 7758) = 2
HCF of 5150, 7758 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5150, 7758 is 2.
Highest Common Factor of 5150,7758 is 2
Step 1: Since 7758 > 5150, we apply the division lemma to 7758 and 5150, to get
7758 = 5150 x 1 + 2608
Step 2: Since the reminder 5150 ≠ 0, we apply division lemma to 2608 and 5150, to get
5150 = 2608 x 1 + 2542
Step 3: We consider the new divisor 2608 and the new remainder 2542, and apply the division lemma to get
2608 = 2542 x 1 + 66
We consider the new divisor 2542 and the new remainder 66,and apply the division lemma to get
2542 = 66 x 38 + 34
We consider the new divisor 66 and the new remainder 34,and apply the division lemma to get
66 = 34 x 1 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5150 and 7758 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(66,34) = HCF(2542,66) = HCF(2608,2542) = HCF(5150,2608) = HCF(7758,5150) .
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Frequently Asked Questions on HCF of 5150, 7758 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 5150, 7758?
Answer: HCF of 5150, 7758 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5150, 7758 using Euclid's Algorithm?
Answer: For arbitrary numbers 5150, 7758 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
