Highest Common Factor of 548, 4247 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 548, 4247 i.e. 137 the largest integer that leaves a remainder zero for all numbers.
HCF of 548, 4247 is 137 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 548, 4247 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 548, 4247 is 137.
HCF(548, 4247) = 137
HCF of 548, 4247 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 548, 4247 is 137.
Highest Common Factor of 548,4247 is 137
Step 1: Since 4247 > 548, we apply the division lemma to 4247 and 548, to get
4247 = 548 x 7 + 411
Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 411 and 548, to get
548 = 411 x 1 + 137
Step 3: We consider the new divisor 411 and the new remainder 137, and apply the division lemma to get
411 = 137 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 137, the HCF of 548 and 4247 is 137
Notice that 137 = HCF(411,137) = HCF(548,411) = HCF(4247,548) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 548, 4247 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 548, 4247?
Answer: HCF of 548, 4247 is 137 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 548, 4247 using Euclid's Algorithm?
Answer: For arbitrary numbers 548, 4247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.